Question

What is the equation of the line that passes through the points (3,-2) and (-1,2)

A) y=-x+1
B) y=-2x-2
C) y=-2x+4
D) y=-x+4
Is it a,b,c,or d please help

Answer 1

A. y = -x + 1

Explanation:

First find the slope of the two lines using the slope formula:
`(y_2-y_1)/(x_2-x_1)`.

`(2-(-2))/(-1-3) =(4)/(-4) =-1`

Now use one of the two points; I am going to use (-1, 2).

Substitute the point and slope into the point-slope equation: y - y1 = m(x - x1).

y - (2) = -1(x - (-1))

Simplify.

y - 2 = -1x - 1

Add 2 to both sides and remove the 1 in front of the x. It is not needed.

y = -x + 1