Graphing in
Point-Slope Form

Objective: Graph​ Equations written in Point-Slope Form

Slope Intercept REVIEW

EXAMPLE

We can graph ANY line as long as we have a starting point and the slope.

​

Graph the line that goes through the point (-2,3) and has a slope of -4 .

Point-Slope Form

The SLOPE is easy to identify.

The POINT is a little trickier.

​

First, the y-coordinate (y₁) is first.

And the x-coordinate (x₁) is second.

So we have to reverse the numbers

​AND the sign for (x,y) is opposite.

​

(easier to explain with an example)

​y - y₁ = m(x - x₁)

Slope: m

Point: (x₁,y₁)

EXAMPLES

Given the equation: y - 4 = -2(x - 3), identify the slope and the point on the line.​

​y - y₁ = m(x - x₁)

Point: (-5,3)

EXAMPLE​

Graph: y - 3 = -2(x + 1)