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

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

Step-by-step explanation:

First, find your slope:

The formula for finding slope is .

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:

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)

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