Question

Find the equation of the line that goes through (2,9) and (-1,5) in point-slope form

Answer 1

y-9=4/3(x-2)

Explanation:

First, find your slope:

The formula for finding slope is
`m=(y_(2)-y_(1) )/(x_(2)-x_(1) )`.

Our coordinate point for our x₁ and y₁ values will be (2,9) and our coordinate point for our x₂ and y₂ values will be (-1,5). Now, let's plug those into our formula:

`m=(5-9)/(-1-2)=(-4)/(-3)=(4)/(3)`

Your slope is 4/3.

Next, plug in your x₁ and y₁ values in for point-slope form. The equation in variable form is "y-y₁=m(x-x₁)". So, plugging in our point (2,9) for x₁ and y₁, we get:

y-9=4/3(x-2)