Question

What is the equation of a line that has a slope of 4/5 and passes through the point (-2,4)?

Answer 1

y =
`(4)/(5)`x + 5
`(3)/(5)`

Explanation:

Let's do it in slope-intercept form, it will look like this:

m = slope

b = y -intercept

To find our equation we will plug in the slope, plug in the point given, and solve for b.

y = mx + b

y =
`(4)/(5)`x + b

4 =
`(4)/(5)`(-2) + b

4 =
`-(8)/(5)` + b

5
`(3)/(5)` = b

Plug the b into our original equation, and there is our answer!

y =
`(4)/(5)`x + 5
`(3)/(5)`