Question

A line passes through the points (0, –5) and (8, –10). What is its equation in slope-intercept form?

Answer 1

y=-
`(5)/(8)`x-5

Explanation:

Start with the slope equation
`(y_(2)-y_(1) )/(x_(2) -x_(1) )`.

`(-10-(-5))/(8-0)=(-5)/(8)`

This is the slope of your equation

Now rearrange the slope-intercept equation to get your y-intercept

y=mx+b

y-mx=b

Now substitute either of your two points to find your y-intercept

-10-(-
`(5)/(8)`(8))=b

-10-(-5)=b

-10+5=b

b=-5

Now that you have slope and the y-intercept you can write your equation:

y=-
`(5)/(8)`x-5