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3 years ago

Which of the following lines the parallel to the line y-9=7(x+5)

Mathematics

1 answer:

sattari [20]3 years ago

7 0

Answer:

Step-by-step explanation:

Parallel lines have the same slope.

The slope-intercept form of an equation of a line:

y = mx + b

m - slope

b - y-intercept

The point-slope form of an equation of a line:

y - y₁ = m(x - x₁)

(x₁, y₁) - point on a line

m - slope

We have the line y - 9 = 7(x + 5). The slope m = 7.

A) y - 9 = 3x + 4 → m = 3

B) y = -9x - 5 → m = -9

C) y + 5 = 7(x - 9) → m = 7

D) y - 9 = 5(x + 4) → m = 5

The line C) y + 5 = 7(x - 9) has the same slope.

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Answer:

Part 1) When the amount of calling is 450 minutes the two plans cost the same

Part 2) When the two plans cost the same , the cost is $68.50

Step-by-step explanation:

Part 1) For what amount of calling do the two plans cost the same?

Let

x ---> the number of minutes

y ----> the total cost

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate of the linear equation

b is the y-intercept or initial value

In this problem we have

Plan A

The slope is equal to

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The y-intercept is

$b=\$19$

substitute

$y=0.11x+19$ ----> equation A

Plan B

The slope is equal to

$m=\$0.13\ per\ minute$

The y-intercept is

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substitute

$y=0.13x+10$ ----> equation B

Equate equation A and equation B

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solve for x

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therefore

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Part 2) What is the cost when the two plans cost the same?

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therefore

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