Which equation describes a line parallel to y= 4x+ 5 through point (-2, 1)?

Mathematics

1 answer:

Tema [17]1 year ago

8 0

Hi there!

For a line to be PARALLEL, it must contain the same slope.

The given line has a slope of 4, so we can use the point-slope formula to solve:

$\large\boxed{y - y_1 = m(x - x_1)}$

y1 = y-coordinate of given point

x1 = x-coordinate of given point

m = slope

Plug in the values:

$y - 1 = 4(x - (-2))\\\\y - 1 = 4(x + 2)$

Simplify:

$y - 1 = 4x + 8\\\\\boxed{y = 4x + 9}$

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Please explain how you got your answer (:

melisa1 [442]

I used math

anyway
remember you can do anything to an equation as long as you do it to both sides

so

4n+2 and 1/2=2n+5
minus 2n both sides
4n-2n+2 and 1/2=2n-2n+5
2n+2 and 1/2=0+5
2n+2 and 1/2=5
minus 2 and 1/2 both sides
2n=2 and 1/2
divide both sides by 2
I mean times both sides by 1/2
n=1 and 1/4

answer is C

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