Question

A line that has a slope of 1/3 and passes through the point (-9,5)

Answer 1

`y = (1)/(3)x + 8`

Explanation:

using the slope-intercept formula, u have this so far as an equation (just knowing the slope):
`y = (1)/(3)x + b`

To find the y-intercept, substitute in the values of the coordinates given to solve for b:

`y = (1)/(3)x + b\\5 = (1)/(3)(-9) + b\\5 = -3 + b\\8 = b`

so u can just put 8 into your slope-intercept formula (
`y = (1)/(3)x + 8`) and that's it! hope this helps!