Question

A line contains the points (3,-4) and (0,2). What is the equation of this line in slope intercept form?

A) y=2x+2
B) y= -2x+2
C) y= -x + 1
D) y= x +1

Answer 1

y = -2x + 2

Explanation:

First, find the slope - the slope formula is
`(y_(2)-y_(1))/(x_(2)-x_(1)  )`. If you plug in the coordinates, you get:

`(2-(-4)/(0-3)=(6)/(-3) =-2`

So you plug the slope into the slope-intercept equation:

y = -2x + b

Then to find b, you plug in one of the coordinates (I'll use (0,2)):

2 = -2(0) + b

2 = b

So therefore:

y = -2x + 2