Linear equation
A line with the slope of 1/2 pass through the point (3,-2)
a) Write the equation of the line in Point - Slope Form.
b) Write the equation of the line in Slope - intercept form.

Answers

Answer 1

Answer:

see explanation

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = [tex]\frac{1}{2}[/tex] and (a, b) = (3, - 2) , thus

y - (- 2) = [tex]\frac{1}{2}[/tex] (x - 3) , that is

y + 2 = [tex]\frac{1}{2}[/tex]( x - 3) ← in point- slope form

(b)

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = [tex]\frac{1}{2}[/tex] , thus

y = [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (3, - 2) into the partial equation

- 2 = [tex]\frac{3}{2}[/tex] + c ⇒ c = - 2 - [tex]\frac{3}{2}[/tex] = - [tex]\frac{7}{2}[/tex]

y = [tex]\frac{1}{2}[/tex] x - [tex]\frac{7}{2}[/tex] ← in slope- intercept form


Related Questions


PLZ HELP WUICK ILL MARK BRAINLEIST!!!
15. a) Target sells cases of Mountain Dew for $3 if you buy a Target Red
Card for $20. Walmart sells cases of Mountain Dew for $5. Choose the
equation that can be used to determine how many cases will it take for the
cost to be the same?
3x + 20 = 5x
8x = 20
ОА
OB
8x + 20 = 0
3x - 20 = 5
D

Answers

Answer:

3x - 20 = 5

Step-by-step explanation:

What’s a more efficient way to describe ""the set of all numbers at most 4 units away from 2""

Answers

Answer:

the solution is a set of real numbers between the intervals of -2 and 6

Step-by-step explanation:

We want to represent the set of all numbers at most 4 units away from 2.

If the numbers are represented by "x", this means that we want the distance between x and 2 to be less than or equal to 4.

Now, the distance between x and 2 can be represented in absolute value form as; |x - 2|

Thus, the equation that satisfies the more efficient way is;

|x - 2| ≤ 4

This means that;

x - 2 ≤ 4 or x - 2 ≥ -4

Solving both we have;

x ≤ 6 or x ≥ -2

Thus, the solution is a set of real numbers between the intervals of -2 and 6

An investor received a dividend of $550 on an investment of $4000. What percent of the investment is the dividend?

Answers

Answer:

13.75%

Step-by-step explanation:

To find the percent, you take the dividend and divide it by the original investment. Ex.- 550/4000 = 0.1375. Then we multiply it by 100 and get our percent answer: 13.75%

Solve for x. geometry with triangle

Answers

Answer:

Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X.

Step-by-step explanation:

Hope this helps

Explain why 1/3 + 1/4 equals 7/12 and not 2/7

Answers

Answer:

7/12

Step-by-step explanation:

1/3 = 4/12

1/4 = 3/12

3/12 + 4/12 = 7/12

Bob wants to hike a total of 45 miles on his vacation.
If he wants to spread out his hikes evenly over the 4
days of his vacation. How many miles should he hike
per day?

Answers

Answer:

Mike should hike 11.25 miles per day for four days

Step-by-step explanation:

45÷4=11.25

11 and a half miles each day

A furlong is 1/8 mile. What part of a mile is 1/3 furlong?

Answers

Answer:

1/24 mile

Step-by-step explanation:

To find 1/3 of 1/8, you would multiply the two fractions

Good luck!

HELP ASAP A bicycle that usually sells for $250 is on sale for 25% off. Find the sale price.

Answers

Answer:

187.5

Step-by-step explanation:

Answer:

$187.5

Step-by-step explanation:

Normal price = $250Discount = 25%

Sale price:

$250 - 25% = $250 - 0.25*$250 = $250*0.75 = $187.5

Solve for the letter A. ab-d=c

Answers

Answer:

a = [tex]\frac{c+d}{b}[/tex]

Step-by-step explanation:

First, you want to add d on both sides.

ab-d = c

   +d  +d

ab = c+d

Now, divide b on both sides.

ab = c+d

  /b     /b

a = [tex]\frac{c+d}{b}[/tex]

I hope this helps; have a great day c:

(Also, I just realized that I solved only the question that you typed, not the picture...do you need the answer for the question in the picture???)

the window box method of multiplication for the following problems: 67 x 32 and 132 x 34.

Answers

Answer:

2144 and 4488

Step-by-step explanation:



Please helppppppppppop

Write an absolute value inequality that represents the situation. Then solve the inequality the difference between the areas of the figure is less than 2.



The absolute value inequality is________<2


The solution of inequality is_______.

Answers

Answer:

Absolute value inequality is |(2x + 12) - 12| < 2

Solution of the inequality is -1 < x < 1 (x = -1 or x = 1)

Step-by-step explanation:

Area of triangle = ½*base*height = ½*4*(x + 6) = 2(x + 6) = 2x + 12

Area of rectangle = length * width = 6*2 = 12

Given that the difference their areas is less than two, therefore, an absolute value inequality can be written as follows:

|(2x + 12) - 12| < 2

Find the solution by splitting the inequality into two:

(2x + 12) - 12 < 2 OR (2x + 12) - 12 > -2

Solve each

2x + 12 - 12 < 2

2x < 2

2x/2 < 2/2

x < 1

OR

2x + 12 - 12 > -2

2x > -2

2x/2 > -2/2

x > -1

Solution would be -1 < x < 1 (x = -1 or x = 1)

Julio wants to know the height of a tree in his yard. He measures his shadow to be 8.4 feet long and determines the tree shadow to be 21 feet long at the same time.

Julio is 6 feet tall. How tall is the height of the tree in his yard?

Answers

Answer:

26ft if i think i might be wrong

Step-by-step explanation:

Answer:

its 29.4 i think

Step-by-step explanation:

21+8.4=29.4

Is the point (-3, 2) a solution of x-5y<7x − 5 y < 7? Explain how you know.

Answers

Answer:

  yes, it makes the inequality true

Step-by-step explanation:

Try it and see.

  x - 5y < 7

  -3 -5(2) < 7

  -13 < 7 . . . . . . true

The given point is a solution.

Which numbers, when added to -15 give a sum greater than 0?
Which numbers, when added to -15 give a sum less than 0?
Which number, when added to -15 gives a sum equal to 0?

PLEASE ANSWER THIS AND BE SPECIFIC THIS WOULD SAVE ME AND WOULD BE A BIG BLESSING PLEASE!! DO IT IN aT LEAST LESS THAN 10 MINUTES!!!!!

Answers

The first question is the numbers 16 and above.

Number line!

using a number line you can go from -15 to then go to the right until you get to +1.

Count the spaces.

(You can also think of this as debt which I find much easier.)

The second question would be 14 and under.

Any answer from 14 and under will lead to a negative answer, which is less than 0.

You can use a number line to help you with this one as well,

Start from -15 then go the right until you reach -1.

count the spaces.

The last one is 15.

Number line, once again.

start at -15 then go to the right until you reach 0.

count the spaces.

Hope this helps!

Adrian works in New York City and makes $42 per hour. She works in an
office and must get her suit dry cleaned everyday for $75. If she wants to
make more than $260 a day, at least how many hours must she work?

Answers

Answer:

20 hours

Step-by-step explanation:

Beacause she needs some alot of money and she have 200 per hours

if a pick-up truck gets 10 miles per gallon of gas. how many feet per quart is this?

Answers

2.5 per
Hopes this helps

What is the slope of a line perpendicular to a line with slope –9?

Answers

Answer:

The answer is 1/9.

Step-by-step explanation:

When solving for the slope of a perpendicular line to a given, you have to flip the opposite reciprocal.

First take the number and flip the reciprocal, in this case -9 turns into -1/9.

Then flip the sign, like making a negative to a positive or a positive to a negative. In this case make -1/9 into 1/9

Therefore the answer is 1/9.


Write an equation for the following tile pattern.

Figure 2

Figure 3

Figure 4

Answers

Answer:

The general equation following the pattern becomes is 7 + (n - 1)×2

Where, n = The figure number - 1

Step-by-step explanation:

The pattern in the question can be described as follows;

Figure 2 = (5 + 2) squares boxes = 7 squares boxes

Figure 3 = (5 + 2 + 2) squares boxes

Figure 4 = (5 + 2 + 2 + 2) squares boxes

Therefore, the number of squares boxes per figure, form an arithmetic progression (a + (n - 1)d) with the first term a = 7, the common difference d = 2, and the n = the nth term of the series, such that the general equation following the pattern becomes;

7 + (n - 1)×2.

solve for x-5-10=-60 the answer choices are -10 10 100 please help this is fora test

Answers

Answer:

i got -45, so make sure you wrote the problem right because i solved correctly.

I think it is -45 I looked it up

What is one-half of two-thirds?

Answers

Answer:

1/3

Step-by-step explanation:

1/2 * 2/3

1 * 2

2 * 3

2/6

Simplify: 1/3

What is the coefficient of b in the expression b + 10? Explain.

Answers

Answer:

1

Step-by-step explanation:

as b have no number given it means. its coefficent is 1

Given m|n, find the value of x.

Answers

The answer would be 117 degrees. Subtract 63 from 180 and it will give you 117
that’s 117°
you get this by subtracting 180 by 63 to find the remaining value of the line

what is 4 3/5 as a deimal

Answers

Answer:

4.6

Step-by-step explanation:

[tex]4\frac{3}{5} = \frac{23}{5}[/tex]  23/5 = 23 ÷ 5 = 4.6

I hope this helps!

4•5=20

20+3=23

23/5=4.6

4 3/5 = 4.6

Hope this helps!! <3

what is the value of 6x-3 if x = -5?

Answers

6x-3; x=-5
6x(-5)-3
-30-3
-33

Kareem drove 240 miles using9 gallons of gas. At this rate, how many gallons of gas would he need to drive 216 miles?

Answers

Step-by-step explanation:

240 miles = 9 gallons of gas

1 mile = 9/240

= 3/80 (0.0375) gallons of gas

216 miles = 3/80 (0.0375) × 216

= 8.1 gallons of gas

At Coffee-R-Us, Kyle’s salary is $35 per week. He also earns 75% of his weekly sales as a commission. Mona works at Coffee-4-U, and she earns $55 per week in addition to 50% of her weekly sales as a commission. For what amount of weekly sales will Kyle’s weekly earnings be at least as much as Mona’s weekly earnings?

True or False: 35 + 0.75x ≥ 0.5x + 55 be used to solve the real-world problem.

If false, explain in detail what needs to be changed in the real-world problem so 35 + 0.75x ≥ 0.5x + 55 can be used to solve it.

Answers

Answer:

stop cheating lol

Step-by-step explanatbxtch

what is 3/7 as a decimal plz answer it's due friday​

Answers

3/7=0.428571 or technically it roughly equals that.

Answer:

0.4286 or u  just say 0.42

Step-by-step explanation:can u help me with my promblem???

How does where and how people live impact global cultural, political, and economic patterns?

Food storage contains labeled with a 1.5 quart capacity must have an acutal capacity within 0.02 quarts of the capacity stated on the label. Select the equation that represnets the minimum actual capacity and maximum actual capacity allowed for products labeled as 1.5 quart food storage containers.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

If Capacity on label = 1.5 quarts

Actual capacity will be within 0.02 quartz of the capacity stated on label

The actual capacity of the container labeled 1.5 quarts will hence equal:

Let actual capacity = a

| a - capacity in label | = 0.02

| a - 1.5 | = ± 0.02

a - 1.5 = ± 0.02

Hence,

Minimum actual capacity :

a = - 0.02 + 1.5 = 1.48

Maximum actual capacity :

a = 0.02 + 1.5 = 1.52

A baby is born having a mass of 3,000 grams and gains 200 grams in the following week. How much does the baby weigh one week after its birth? How many grams!

Answers

Answer:

7 pounds 0.8767 ounces

Answer:

3,200

Step-by-step explanation:

if it gains 200 a week then its 3,000 enital grams plus the 200 hundred gained

What is f(x)=|1/4x| translated 2 units to the left

Answers

Answer:

f(x)=|1/2x|

Step-by-step explanation:

Answer:

y=l(1/4)x + (1/2)l

Step-by-step explanation:

When shifting non-linear functions to the left or right, you must put the opposite operation inside the parenthesis. This means when you move to the left, your number must be positive. If you move to the right, your number must be negative. In this scenario, we want to shift the graph to the left 2 units. However, because our m value is a fraction, the shifting vale must also be a fraction. So instead of 2, the value becomes (1/2). Putting this all together, your answer is y=l(1/4)x + (1/2)l

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