What is the equation of the line containing the points (-2, 3) and (1, 2)?

1 Answer
Nov 7, 2017

y=(-1/3)x+2.3

Explanation:

First, we find our slope. Slopes are written in y over x form, or "rise"/"run". You can easily remember this by thinking you would run across the x axis, but you would rise along the y axis.

Slope can be found with the equation (y_2-y_1)/(x_2-x_1) Plug the points given into this formula to find your slope.

(2-3)/(1-(-2)) rArr -1/3

Draw a graph using your two points given, then use your newfound slope to continue drawing your slope toward the y axis until you intersect it. This point will be your y-intercept, or b in slope-intercept form.

graph{(-1/3x)+2.3 [-11.27, 14.04, -2.82, 9.84]}

This line looks like it hits the y axis at about 2.3, so that is your b.

Thus, your answer will be y=(-1/3)x+2.3