Question

The points (-10, 0) and (-5, 3) fall on a particular line. What is it’s equation in slope-intercept form?

Write your answer using integers, proper fractions, and improper fractions in simplest form.

Answer 1

y = 3/5x + 6

Explanation:

When given two points, it is convenient to start with the 2-point form of the equation of a line, then rearrange it to the form needed for the problem. For points (x1, y1) and (x2, y2), the equation is ...

y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given point coordinates, this is ...

y = (3 -0)/(-5 -(-10))·(x -(-10)) + 0

y = 3/5(x +10)

y = (3/5)x + 6