Find the slope of a line parallel and perpendicular to the line with given coordinates: (7, -2) and (1, -3).

Answers

Answer 1

Answer:

[tex]m=\frac{1}{6}[/tex] (Parallel)

[tex]m=-6[/tex] (Perpendicular)

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in the 2 coordinates into the slope formula to find slope m:

[tex]m=\frac{-3-(-2)}{1-7}[/tex]

[tex]m=\frac{-3+2}{-6}[/tex]

[tex]m=\frac{-1}{-6}[/tex]

[tex]m=\frac{1}{6}[/tex]

A parallel line always has the same slope as the original.

[tex]m=\frac{1}{6}[/tex] (Original)

[tex]m=\frac{1}{6}[/tex] (Parallel)

A perpendicular line always has the negative reciprocal slope of the original.

[tex]m=\frac{1}{6}[/tex] (Original)

[tex]m=-6[/tex] (Perpendicular)


Related Questions

7th GRADE WORK HELPPP!!! ILL BRAINLIST!!!

Answers

Answer: Rachel's prediction is faster than the actual unit rate, and Theadore's prediction is slower.

Answer:

I'm pretty positive the answer is B

Step-by-step explanation:

Since it's been 7 1/2 weeks and they thought it would grow atleast 2/5 a foot a week that should mean it's growing faster than anticipated.

HELP I NEED ANSWERS NOW!!
It is 3/4 before closing time at the grocery store. It takes about 1/8 hours for Jane to find 1 item on her shopping list. How many items can Jane find before the store closes?
(please help i'm dumb)

Answers

she would only be able to get 3 things

Answer:i think you will have 5/1 sorry if i am wrong

i t

Step-by-step explanation:

Daniela and Jack are hiking a steady incline. They use their GPS device to determine their elevation every 15 minutes. At 15 minutes and 30 minutes they were at elevations of 10,300 and 10,900 feet, respectively. Write an equation expressing their elevation in relation to time.

Answers

Answer:

[tex]h=40t+9700[/tex]

where the elevation, h, is in feet and time, t, is in minutes.

Step-by-step explanation:

At the time, [tex]t_1=15[/tex] min, the elevation, [tex]h_1= 10,300[/tex] feet and

at the time [tex]t_2= 30[/tex] min, the elevation, [tex]h_2=10,900[/tex] feet.

As they are hiking a steady incline, so the change in the elevation with respect to time will be constant.

So, there will be a linear relationship between the elevation and the time.

Let [tex]h[/tex] be the elevation at any time instant [tex]t[/tex], so the linear relation among these quantities is

[tex]h=mt+C_0\;\cdots(i)[/tex]

where [tex]m[/tex] is the rate of change of elevation with respect to time and [tex]C_0[/tex] is constant.

The change in the elevation, [tex]\Delta h=h_2-h_1= 10,900-10,300=600[/tex] feet.

and the change in time, [tex]\Delta t=t_2-1_1=30-15=15[/tex] min.

So, change in the elevation in unit time,

[tex]m=\frac{\Delat h}{\Delta t}=\frac{600}{15}=40[/tex] feet/min.

Now, from equation (i)

[tex]h=40t+C_0[/tex]

As the elevation, [tex]h=h_1[/tex] at time [tex]t=t_1[/tex], so

[tex]10,300=40\times15+C_0[/tex]

[tex]\Rightarrow C_0=9700[/tex]

Hence, the required equation is

[tex]h=40t+9700[/tex]

where the elevation, [tex]h[/tex], is in feet and time, [tex]t[/tex], is in minutes.

identify the x and y intercepts

Answers

Answer:

(1,0) (0,8) thats all I see

Step-by-step explanation:

x-intercepts: (-1,0) (4,0) (5,0) y-intercepts: (0,8)

Which expression is equivalent to -6(-2/3+2x)?
-4 -12x
-4+2x
4 - 12x
4+12x

Answers

Answer:

4-12x

Step-by-step explanation:

-2/3*-6 is 4

-6*2 is -12

4-12x

Answer:

The third one, 4-12x

Step-by-step explanation:

You want to find an equation that equals  4 - 12 x

Y-z=m(x-k) solve for x

Answers

Answer:

x = y/m - z/m +k

Step-by-step explanation:

Express the percent as a decimal.
30\%30%30, percent
Stuck help

Answers

If it’s 30% converted to a decimal it’ll be .30

List websites where you can watch anime for free without adds!!

Answers

Answer:

netflix is all I use for the website lol

Answer:

There's no such place to watch anime without ads. Jk I'm not quite sure but yeah.

an angle measures 38 degrees more than the measure of its supplementary angle. what is the measure of each angle?

Answers

Answer is 71 and 109 degrees
x+(x+38)=180
2x+38=180
2x=142
x=71

x+38
71+38=109

This has no answer choices

Answers

Answer:

I think x eaquals 130

Step-by-step explanation:

Because if you add 50 to 130 you get 180 a a straight line is 180 hope this helps

what is 15 X 16, i need to know for my math, and i dont know.

Answers

The answer to your question is 240

5(5t-2) = -35

show how to solve the given equation ​

Answers

distribute the 5
25t-10=-35
+10 +10
25t =-25
divide by 25 on both sides
t=-1

I know it’s hard to read, but if u can, please help!!

Answers

Answer:

  4th choice (if we guessed the blurry letters properly)

Step-by-step explanation:

The reflection maps ...

  (x, y) ⇒ (x -y)

Then the rotation maps ...

  (x, -y) ⇒ (y, x)

That is, R(-1, 4) becomes R'(4, -1), apparently matching point S, the only point at (4, -1). We can't read the letters, but we know that you only need to know where R ends up in order to select the correct answer.

help me please :(((((

Answers

Answer:

4 4 4

4

4

Step-by-step explanation:

it is all the same number, im being 4 real

c-c+a+ |a|; use a = 4, and c=5

Answers

Answer:

c-c+a+|a|

5-5+4+|4|

8

Step-by-step explanation:


Which number line represents the solution to the inequality 1 + 2x < -7?

Answers

Answer:

[tex]\boxed {x < -4}[/tex]

Step-by-step explanation:

Solve the following inequality:

[tex]1 + 2x < -7[/tex]

-Subtract [tex]1[/tex] to both sides:

[tex]1 - 1 + 2x < -7 - 1[/tex]

[tex]2x < -8[/tex]

-Divide both sides by [tex]2[/tex]:

[tex]\frac{2x}{2} < \frac{-8}{2}[/tex]

[tex]\boxed {x < -4}[/tex]

The number line:

what is 2 to the power of 2 multiply 5​

Answers

Answer: 20

1) simplify 2^2 to 4

4*5

2) simplify

20

.164 round to the nearest tenth

Answers

Answer:

.2

Step-by-step explanation:

100
Ave. High
Ave. Low
[Graphs generated by this script: initPicture(1.5,65.5,-8,32);stroke="cyan";line([10,0],[10,30]);line([65,0],[65,30]);line([10,0],[65,0]);line([10,5],[65,5]);line([10,10],[65,10]);line([10,15],[65,15]);line([10,20],[65,20]);line([10,25],[65,25]);line([10,30],[65,30]);stroke="green";text([10,-1],"Jan","right","0");stroke="red";text([10,13],"30","right","0");fill="red";rect([10.75,5],[12,12.5]);stroke="blue";text([11.5,-0.25],"-17","right","0");fill="blue";rect([12.25,5],[13.5,0.75]);stroke="purple";text([14.5,-1],"Feb","right","0");stroke="red";text([14.5,16],"42","right","0");fill="red";rect([15.25,5],[16.5,15.5]);stroke="blue";text([16,1.5],"-10","right","0");fill="blue";rect([16.75,5],[18,2.5]);stroke="black";text([19,-1],"Mar","right","0");stroke="red";text([19,19],"54","right","0");fill="red";rect([19.75,5],[21,18.5]);stroke="blue";text([20.5,2.75],"-5","right","0");fill="blue";rect([21.25,5],[22.5,3.75]);stroke="green";text([23.5,-1],"Apr","right","0");stroke="red";text([23.5,22],"66","right","0");fill="red";rect([24.25,5],[25.5,21.5]);stroke="blue";text([25,7.75],"7","right","0");fill="blue";rect([25.75,5],[27,6.75]);stroke="purple";text([28,-1],"May","right","0");stroke="red";text([28,26],"82","right","0");fill="red";rect([28.75,5],[30,25.5]);stroke="blue";text([29.5,12.25],"25","right","0");fill="blue";rect([30.25,5],[31.5,11.25]);stroke="black";text([32.5,-1],"Jun","right","0");stroke="red";text([32.5,28.75],"93","right","0");fill="red";rect([33.25,5],[34.5,28.25]);stroke="blue";text([34,14.25],"33","right","0");fill="blue";rect([34.75,5],[36,13.25]);stroke="green";text([37,-1],"July","right","0");stroke="red";text([37,29],"94","right","0");fill="red";rect([37.75,5],[39,28.5]);stroke="blue";text([38.5,16.25],"41","right","0");fill="blue";rect([39.25,5],[40.5,15.25]);stroke="purple";text([41.5,-1],"Aug","right","0");stroke="red";text([41.5,25],"78","right","0");fill="red";rect([42.25,5],[43.5,24.5]);stroke="blue";text([43,11.5],"22","right","0");fill="blue";rect([43.75,5],[45,10.5]);stroke="black";text([46,-1],"Sept","right","0");stroke="red";text([46,23],"70","right","0");fill="red";rect([46.75,5],[48,22.5]);stroke="blue";text([47.5,6.75],"3","right","0");fill="blue";rect([48.25,5],[49.5,5.75]);stroke="green";text([50.5,-1],"Oct","right","0");stroke="red";text([50.5,18],"50","right","0");fill="red";rect([51.25,5],[52.5,17.5]);stroke="blue";text([52,1.75],"-9","right","0");fill="blue";rect([52.75,5],[54,2.75]);stroke="purple";text([55,-1],"Nov","right","0");stroke="red";text([55,14.75],"37","right","0");fill="red";rect([55.75,5],[57,14.25]);stroke="blue";text([56.5,0.25],"-15","right","0");fill="blue";rect([57.25,5],[58.5,1.25]);stroke="black";text([59.5,-1],"Dec","right","0");stroke="red";text([59.5,14.5],"36","right","0");fill="red";rect([60.25,5],[61.5,14]);stroke="blue";text([61,0.25],"-15","right","0");fill="blue";rect([61.75,5],[63,1.25]);stroke="purple";text([1,15],"Degrees Fahrenheit","right","90");text([34,-2.5],"Month","right","0");text([22.5,31.5],"Average Monthly Temperature","right","0");text([5,0],"-20","right","0");text([5,5],"0","right","0");text([5,10],"20","right","0");text([5,15],"40","right","0");text([5,20],"60","right","0");text([5,25],"80","right","0");text([5,30],"100","right","0");fill="white";rect([19,-7.5],[54,-3.5]);fill="red";rect([20,-6.5],[25,-4.5]);stroke="black";text([25,-5.5],"Ave. High","right","0");fill="blue";rect([40,-6.5],[45,-4.5]);stroke="black";text([45,-5.5],"Ave. Low","right","0");]
Using the bar graph from above to answer the following questions:

a) What is the average monthly low temperature for Bogusville?


F


b) What is the average monthly high temperature for Bogusville?


F


c) What is the average monthly high temperature for Bogusville during the fourth quarter of the year?


F


d) What is the average monthly low temperature for Bogusville during the fourth quarter of the year?

Answers

this is the most easier question anyone has asked yet. kill me

Frank liked to buy packs of baseball cards. On 3 different days, he bought 3 packs. On 3 other days, he bought 4 packs each day. After that he split his packs with his 2 brothers. How many packs will they each have? Choose the expression that best matches this situation. [(3 x 3) + (4 x 3)] ÷ 3 [(3 x 3) + (4 x 3)] - 3 (3 x 3) + [(4 x 3) ÷ 3] [(3 x 3) + (4 x 3) ÷ 3]

Answers

Answer:

[(3 x 3) + (4 x 3)] ÷ 3

Step-by-step explanation:

Choose the expression that best matches this situation.

[(3 x 3) + (4 x 3)] ÷ 3

[(3 x 3) + (4 x 3)] - 3

(3 x 3) + [(4 x 3) ÷ 3]

[(3 x 3) + (4 x 3) ÷ 3]

On 3 different days, he bought 3 packs

= 3 × 3

= 9 packs

On 3 other days, he bought 4 packs each day.

= 4 × 3

= 12 packs

After that he split his packs with his 2 brothers

= (9 + 12) / 3

= 21 / 3

= 7 packs each for him and his two brothers

Here is the expression:

[(3 x 3) + (4 x 3)] ÷ 3

= (9 + 12) ÷ 3

= 21 / 3

= 7 packs

1/2 = q + 2/3
and
p - 3 1/6 = -18.73

please help, im giving 20 points

Answers

Answer:

see below

Step-by-step explanation:

1/2 = q + 2/3

Subtract 2/3 from each side

1/2 -2/3 = q+2/3-2/3

Getting a common denominator of 6

3/6 - 4/6 = q

-1/6 =q

p - 3 1/6 = -18.73

Add 3 1/6 to each side

p - 3 1/6 + 3 1/6 = -18.73 + 3 1/6

p = -18 73/100 + 19/6

Get a common denominator

p =- 5619/300 + 950/300

  = -4669/300

=-15 169/300

If f(2) = 22 – 5, then what is the value of f(2) + f(5)?

Answers

Answer:

67

Step-by-step explanation:

With the information of f(2) = 22-5,  you can assume the equation will be f(x) = 11x-5. Using this, you can calculate f(5) by doing 11(5)-5, which is 50. 22-5 is 17, so 50+17=67

HELP What is an equation for the parallel to y= 3x-1 that passes through (-9,-2)

Answers

Answer:

The line parallel to this equation would be y=3x+25

Step-by-step explanation:

A parallel line has the same slope but a different y-intercept (so just ignore the "-1" in the equation )  Our goal is to find the y-intercept ("b")

We will start with  

y=3x+b, plug in (-9,-2) for the x and y

-2=3(-9)+b

-2=-27+b,    add 27 to both sides

-2+27=-27+27+b    (the 27's on the right side cancel side)

b=25

our new equation is y=3x+25

Find the value of a. then find the angle measures of the polygon


Answers

Answer is 2a=120 and a=60
2a+2a+a+a=360
6a=360
a=60

2a
2(60)=120

Ray bike 11 miles last week jack bike 12 miles last week jack biked how many times as many miles as ray

Answers

Answer:

Step-by-step explanation:0.1

0.1 is the answer for your question

q log a -3 log b
Condense logarithm

Answers

Answer:

Step-by-step explanation:

q log a is equivalent to log a^q.  Note:  This assumes that the base of your logarithmic system is 10.

-3 log b is equivalent to log b^(-3)

and so   q log a -3 log b  in condensed logarithm form is

log {a^q*b^(-3)}

                 a^q

or log  -----------------

                 b^3    

Whats would be the closest answer to this question

Answers

Answer:

KM

JK

PK

MJ

i hope this helps

Simplify the expression (2d + 3) + (3d − 12).

Answers

Answer:

5d - 9

Step-by-step explanation:

Step 1: Write equation

(2d + 3) + (3d - 12)

Step 2: Combine like terms

5d - 9

Given the parent function f(x) on the left below, which graph could represent g(x) = -f(x) -2

Answers

Answer:

A

Step-by-step explanation:

To do this, you look at each point. What -f(x) means is that you flip the function over the x axis. In this case, c doesn't work. Then, you have to look at the -2 term. That means that the entire function, all the points, are shifted 2 units down. The image isn't very clear for me but I am pretty sure it is A.

Name the shapes based on the descriptions.
1) Opposite sides are congruent and diagonals are not congruent.
2) Opposite sides are congruent and diagonals are congruent.
3) All four sides are congruent and diagonals are not congruent.
4) All four sides are congruent and diagonals are congruent.

Answers

Answer:

circle

Step-by-step explanation:

Answer:

1) Parallelogram

2) Rectangle

3) Rhombus

4) Square

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