Point Slope Form

Definition: A representation of the equation of a line. It is y – y1 = m(x – x1) where m is the slope and (x1, y1) is the point.

point slope form annotated

Example: Write the equation of the line with slope 5 and passing through (-2, 5) in point slope form.

Solution:

Step 1: Find/Calculate/Identify the slope. If you need a reminder on how to find slope, click here.  In this problem we have that m = 5.

Step 2: Identify the x-and y-components of the point. Here x1 = -2 and y1 = 5.

Step 3: Write the equation in point slope form ⇒ y – 5 = 5[x – (-2)]

Step 4: Simplify where necessary ⇒ y – 5 = 5(x + 2)

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