Question

Which of the following is an equation of the line passing through the points (-1, 4) and (1, 2)?.

Answer 1

y-4 =-1(x+1) point slope form

y-2 = -1(x-1)

y = -x +3 slope intercept form

Explanation:

We have 2 points, we can find the slope

m = (y2-y1)/(x2-x1)

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

(2-4)/(1+1)

-2/2

=-1

The slope is -1

Then we can use point slope form to find an equation

y-y1 =m(x-x1)

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

y-4 =-1(x+1) point slope form

Using the other point

y-2 = -1(x-1)

Distribute the -1

y-2 = -1x +1

Add 2 to each side

y-2+2 = -x+1+2

y = -x +3 slope intercept form