Describe the process you used to find the equation of a line through two
points. Have you learned any tricks or shortcuts when doing this? Explain
if you have.

Answers

Answer 1

Answer:

Explanation at the bottom

Step-by-step explanation:

To find the slope with the 2 points use this ---> [tex]\frac{y2 - y1}{x2 - x1}[/tex] Ex: Points (9, 3) (6, 12) --> write it this way [tex]\frac{12 - 3}{6 - 9}[/tex] = [tex]\frac{9}{-3}[/tex] = -3 so -3 would be the slope of that line.

Then to find the y- intercept use the slope and the numbers from one of the points like this ---->   y = mx + b we are looking for b.  

(plugging in the first point)  (using the point (9,3))

3 = -3(9) + b

3 = -27 + b (add 27 on both sides)

30 = b (that's your y- intercept)

(Full equation is)  

y = -3x + 30

If you need further explanation just comment!!


Related Questions

Find the slope between the two points on the line: (1.-19) (-2,-7)

Answers

Answer:

The answer of the question is -4

Answer:

-4

Step-by-step explanation:

Find m A. 17
B. 42
C. 48
D 90

Answers

Answer:

A

Step-by-step explanation:

explain how to graph an equation in slope-intercept form.

Answers

Answer: explain how to graph an equation in slope-intercept form.

Step-by-step explanation: To graph a linear equation in slope-intercept form, we can use the information given by that form. For example, y=2x+3 tells us that the slope of the line is 2 and the y-intercept is at (0,3). This gives us one point the line goes through, and the direction we should continue from that point to draw the entire line.

What is the price per ounce if 20 ounces of apples cost 5.76

Answers

Answer:

It would cost 3.47 cents for one ounce.

Hope it helps :)

Answer: 3.47

Step-by-step explanation: see the key word per and that tells you to divide 20 by 5.76 and get 3.47

( 2 , 1 ) and ( 8 , 9 )

Answers

2,8 are x2-x1
1,9 are y2-y1

Answer:

m = (4/3)

Step-by-step explanation:

9 - 1

8 - 2

8/6 = 4/3

what pets do you have

Answers

Answer:

a goldish!

Step-by-step explanation:

Answer:

2 ferrets a dog and 2 cats

Step-by-step explanation:

PLEASE HELP

PLEASE HELP
solve

Answers

Answer:

the answer is 32 S=32

Step-by-step explanation:

you have to find s right so you do 162-130 =32 or 130+32=162...

How would you explain to someone the rules of a horizontal translation where we are subtracting from the inputs(within the parenthesis) before evaluating the function

Answers

Answer:

Ok, we know that we can write a horizontal translation as:

y' = f(x - A)

where if A is positive, this moves the graph of f(x) A units to the right.

Why is this?

Ok, let's compare:

y = f(x)

and

y' = f(x - A)

in y, when x = 0 we have f(0).

While to have this same point in y', we need to evaluate in x = A.

f(A - A) = f(0).

Then the value f(0) is now at x = A, this means that the point moved A units to the right.

And you can do this for all the values, so you will find that the entire graph of f(x) has ben moved A units to the right.

The graph shows equivalent ratios. Frank plotted another point with a y-value of 18. What is the x-value of that point?

x =

Answers

Answer:

x - 6

took the assignment

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

adam spent $3.42 orange juice .orange juice cost 0.12 per ounce .how many ounces of orange juice did adam buy

Answers

Answer

I think it would be 2,850

Answer:

28.5

Step-by-step explanation:

0.12 x 28.5 = 3.42

That means he bought 28.5 ounces

Please please help!!

Answers

Answer:

  y +4 = 1/5(x +5)

Step-by-step explanation:

The equation of a line with slope m through point (h, k) in point-slope form is ...

  y -k = m(x -h)

You have m=1/5, (h, k) = (-5, -4). Putting these values into the formula gives ...

  y -(-4) = (1/5)(x -(-5))

  y +4 = 1/5(x +5)

During what month do people sleep the least?​ Will mark brainliest for the correct answer!!!

Answers

Answer:

February, it's the shortest month after all.

Answer: February

Step-by-step explanation: People sleep the least amount of time in February because it is the shortest month out off all the months. Your welcome :)

What is the remainder? –10 –7 7 10

Answers

Answer: C

Step-by-step explanation:

idk how to do this. 4x+3(7−x)

Answers

Answer:

x+21

Step-by-step explanation:

Distribute

4x+21-3x

Combine like terms

X+21

Answer:

=x+21

Step-by-step explanation:

4x+3(7−x)

expand: 3(7-x): 21-3x

=4x+21-3x: x+21

=x+21

Hope this helped :)

Which awnser choice is a solution to the equation 3x-2=7

Answers

Answer:

x=3

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

X=3 because you would add 2 to seven Which equals 9. Then you would divide 9 by 3 which equals the answer 3.

Mimi sells super-sized cookies for $1.50 each and estimates she has expenses of $10 to make one batch of cookies. If the inequality 1.5x - 10 > y models this situation, how many cookies, x, would she need to sell to make a profit of at least $30? a: x > 20 cookies b: x > 26 cookies c: x > 27 cookies d: x > 35 cookies

Answers

Answer:

(b) x > 26 cookies

Step-by-step explanation:

The selling price of 1 super-sized cookie, S.P.=$1.50

Let a batch have x cookies.

So, the selling price of x cookies=1.5x

The expences in making one batch of cookies=$10

So, net profit = 1.5x-10

The given inequality to model this is 1.5x - 10 > y, That means the profit for one batch is greater than y.

As she wants to make a profit of at least $30, so for this condition, the value of y is 30.

Now, the given inequality become,

[tex]1.5x - 10 >30[/tex]

[tex]\Rightarrow 1.5x>30+10[/tex]

[tex]\Rightarrow x>\frac{40}{1.5}[/tex]

[tex]\Rightarrow x>26\frac{2}{3}[/tex]

As x is the number of cookies, so, it can't have a fractional value. This can be written as

[tex]x>26[/tex] or [tex]x\geq27.[/tex]

So, she has to sell more than 26 cookies to make a profit of at least $30.

Hence, option (b) is correct.

Toby the Tiger makes $25 an hour selling cereal. Write an equation to
describe the proportional relationship between the amount of hours that
Toby works and the amount of money that Tony earns. (Hint: Make Table)
*
y=5x
y=15x
y=35x
y=25x

Answers

Answer:

I think it is y=25x

Step-by-step explanation:

Since Tony the Tiger makes $25 an hour, in 2 hours, he would make $50. Both of them, when divided, equal 25, the constant of proportionality.

Rafael is making cookies by following a recipe that calls for 2.375 cups of flour, .75 cup of sugar and, 2.125 cups of chocolate chips. Rafael only wants to make 60% of the original recipe. How many cups of flour, sugar, and chocolate chips will he need in total?

Answers

2.756planakalakanajajab

PLEASE HELP ME WITH THIS

Answers

Answer:

1

Step-by-step explanation:

angles on a straight line are 180 so u do 180 minus 47 gives u 133

Which describes the graph of y= (x+ 6)²+ 1? A. Vertex at (-6,-1) B. Vertex at (-6, 1) C. Vertex at (6, 1) D. Vertex at (6,-1)​

Answers

Answer:

B

Step-by-step explanation:

Answer:

B- Vertex at (-6,1)

Step-by-step explanation:

What is the 'K' (Constant of Proportionality) for a straight line that goes through the origin with a point of (3, 30).

Answers

Answer:

k = 10

Step-by-step explanation:

The constant of proportionality of a graph in Mathematics is simply the ratio of y to x which can be called the slope.

It's given by; k = y/x

We are given; y = 30 and x = 3.

Thus;

k = 30/3

k = 10

Which equation describes the line with slope of 3 and
containing the point (-3,-2)?
y = -1/3x-3
y = 1/3x - 1
y = 3x – 2
y = 3x + 7

Answers

Option D is the correct answer, y = 3x + 7

The line is y=3x+7

Given that the point is (-3, -2) and slope=m=3.

Using the point slope formula we get:

[tex]y-\left(-2\right)=3\left(x-\left(-3\right)\right)\\y+2=3\left(x+3\right)\\y+2=3x+9\\y=3x+7[/tex]

The line is y=3x+7

Learn more: https://brainly.com/question/8806877

A spinner is divided into 5 uneven sections, which are labeled red, blue, green, yellow, and orange. Ricardo spun the spinner 120 times. The results are Red: 35 Blue: 36 Green: 32 Yellow: 8 Orange: 9 Based on the different data, what is the probability ricardo will soon blue on his next spin?

Answers

Answer: 3/10

Step-by-step explanation: It's 3/10 because the total amount when you add all the numbers together is 120, and since he spins it 120 times, we could assume that 36 would be the amount of times that it would land on it based on the data given. We're not done yet though. You do 36/120 to get the probability, and you simplify it to get 3/10.

The probability that Ricardo spins blue on his next spin is 0.3

We could use the principle of experimental probability to determine the probability of spinning blue on next spin :

Given that :

Red: 35

Blue: 36

Green: 32

Yellow: 8

Orange: 9

Experimental probability = (number of times event occur / total number of trials)

Total number of trials = (35 + 36 + 32 + 8 + 9) = 120

The experimental probability of spinning blue is thus :

(Number of blue spins / total number of spins)

= 36 / 120

= 0.3

The probability of spinning blue on next spin is 0.3

Learn more : https://brainly.com/question/23044118

Carly,Brandon and Wyatt gather and shell walnuts for their grandfather. Carly gathers 3.5 pounds of walnuts.Brandon collects 3.75 pounds of walnuts and Wyatt collects 2 1/4 pounds. If they place all of the walnuts in one basket and each shells the same amount of walnuts, how many pounds will each person shell ?

Answers

Answer

9.5

Step-by-step explanation:

What is the chemical formula for copper(ll) sulfate?
A) CuSO4
B) Cu2SO4
C) CuS
D) Cu2S
[help pls]

Answers

It should be A, CuSO4

Which number sentence is true?
A.
B.
C.
D.

Answers

Answer:

D Because 0.44 is the same as 0.44 and -5.55 is less than 5.55 and -4.5 is less than 3.60 so it leaves out D

Answer:

D

Step-by-step explanation:

It is larger because the whole number -3 is greater than -4 and closer to 0

Writé the equation for a parabola with x-intercepts of 1 and -3 and passes through
(-9,28).

Answers

Answer:

[tex]\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)[/tex]

Step-by-step explanation:

Equation of the Parabola

The general form of the equation of the parabola is:

[tex]f(x)=ax^2+bx+c[/tex]

We can try to find the values of a,b, and c by using the three given points (1,0),(-3,0),(-9,28).

However, we'll use an easier method. There is another form of the parabola in case we know its roots, also called zeros or x-intercepts. If p and q are the roots of f, then f can be expressed as:

[tex]f(x)=a(x-p)(x-q)[/tex]

We already know the values of p=1 and q=-3, thus replacing them into the equation, we have:

[tex]f(x)=a(x-1)(x+3)[/tex]

We only need to find the value of a. We do that by using the point (-9,28):

[tex]28=a(-9-1)(-9+3)[/tex]

Operating:

[tex]28=a(-10)(-6)=60a[/tex]

Solving for a:

[tex]\displaystyle a=\frac{28}{60}=\frac{7}{15}[/tex]

Thus, the equation of the parabola is:

[tex]\boxed{\displaystyle f(x)=\frac{7}{15}(x-1)(x+3)}[/tex]

HELP

the temperature in Alaska was -13 at 7:00am. By noon, the temperature was 5. How much did the temperature change?


I BEG ANYONE PLS SAVE ME WITH THIS QUESTION ITS MY LAST ONE PLSS

Answers

Answer:

21

Step-by-step explanation:

hope this helps.....

Which two statements are advantages of online banking?

Answers

Answer:

B and C

Step-by-step explanation:

that sounds right anyway

Each year the seventh graders who study life science participate in a special field trip to the city zoo in 2010 the school paid $1,260 for 84 students to enter the zoo in 2011 the school paid $1,050 for 70 students to enter the zoo in 2012 the school paid $1,395 for 93 students to enter the zoo is the price the school pays each year in entrance fees proportional to the number of students entering the zoo explain why or why not

Answers

Answer:

Yes, the price the school pays each year in entrance fees is proportional to the number of students entering the zoo

Step-by-step explanation:

Relationships between two variables is proportional if their ratios are equivalent.

In 2010, the school paid $1,260 for 84 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = [tex]1260:84=15:1[/tex]

In 2011, the school paid $1,050 for 70 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = [tex]1050:70=15:1[/tex]

In 2012, the school paid $1,395 for 93 students to enter the zoo.

Ratio of the price the school pays each year in entrance fees to the number of students entering the zoo = [tex]1,395:93=15:1[/tex]

As [tex]1260:84=1260:84=1,395:93=15:1[/tex],

the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.

Answer:

yes

Step-by-step explanation:

the price the school pays each year in entrance fees is proportional to the number of students entering the zoo.

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