Question

Choose the equation of the line passing through the point (-4, -2) and parallel to y =1/4x + 2.

A. y = 4x - 1

B. y = 4x - 3

C. y = 1/4x - 3

D. y = 1/4x - 1

Answer 1

Parallel lines have the same slope, so what's the slope of the new line gonna be?

Answer 2

@jojo4eva @felavin @Nnesha

Answer 3

Do you know what the slope of y = 1/4x + 2 is?

Answer 4

1/4 @iGreen

Answer 5

Yep, and since parallel lines have THE SAME slope, what's the slope of the other line going to be?

Answer 6

it would be D

Answer 7

Wait..it's either C or D..

Let's see.

We have our point (-4, -2)

and our slope 1/4.

Plug them into the Point-Slope Form:

\(y - y_1 = m(x - x_1)\)

Where \(y_1\) is the y-value, \(x_1\) is the x-value, and \(m\) is the slope.

\(y +2 = \dfrac{1}{4} (x +4)\)

Distribute \(\dfrac{1}{4}\) into the parenthesis.

\(y + 2 = \dfrac{1}{4} \! \! x + 1\)

Subtract 2 to both sides, what's 1 - 2? @IndianBoyNiko

Answer 8

1 , it's D

Answer 9

You mean -1?

That gives us \(y = \dfrac{1}{4} \! \! x - 1\).

So you're correct, your answer is D..

Answer 10

thanks