Question

A line includes the points (-3, 8) and (-1, 2). What is its equation in slope- intercept form

Answer 1

Slope intercept form is y=mx+b where m is slow and b is y intercept. since we dont have this info we will have to do some work to solve.

1. find slope. this is change in y du used by change in. so we take the two points given and subtract the y values and divide by difference of x values
m=(8-2)/(-3--1)=6/-2=-3

2
use point slope formula and simplify. this is y-y1=m(x-x1) where (x1,y1) is a point on the l in ne. you can pick either point it doesn't matter. we will use (-1,2)
y-2=-3(x+1)

simplify to slope intercept by solving for y

y-2=-3x-3
y=-3x-1
so we have slope -3 and y intercept -1