Question

What is the equation of this line in slope-intercept form?

A. y = 4x + 1

B. y=−14x+1

C. y=4x−1

D. y=−4x+1

Answer 1

D i hope thats right im sure of it though

Answer 2

From given picture we see that line passes through two points (-1,5) and (1,-3).

We have to find equation of line in slope intercept form y=mx+b. So we can begin with finding slope (m) first using formula

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{-3-5}{1--1}=\frac{-8}{1+1}=\frac{-8}{2}=-4$

Now plug the value of slope m=-4 and any one point say (1,-3) into point slope formula

$y-y_1=m(x-x_1)$, we get:

y--3=-4(x-1)

y+3=-4x+4

y=-4x+4-3

y=-4x+1

Hence final answer is D. y=-4x+1.