Write The Equation Of a Line That Contains The Points (2,5) And (-2,-1) ?

1 Answer
Mar 17, 2018

First, we need to find the slope of the line using the following formula.
y2y1x2x1

=1522
=64
=32

Therefore, the slope of the line is 32.

Next, we need to find the y-intercept by substituting the following using the slope and one of the given points.
(2,5)

y=mx+b
5=32(2)+b
5=62+b
562=b
42=b
b=2

Therefore, the y-intercept is 2.

Lastly, write the equation.
y=32x+2