Answer:
y-9=4/3(x-2)
Step-by-step explanation:
First, find your slope:
The formula for finding slope is [tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex].
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:
[tex]m=\frac{5-9}{-1-2}=\frac{-4}{-3}=\frac{4}{3}[/tex]
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)
