3.8 - Point-Slope Form

3.8 - Point-Slope Form

​Objective:

​To relate slope to parallel and perpendicular lines.

​Point-Slope Form:

​

​Distribute and solve for y to write the equation in slope-intercept form.

Open Ended

Write the linear equation in slope-intercept form.

Point: (4, 1)

Slope: 2

Open Ended

Write the linear equation in slope-intercept form.

Point 1: (-6, -7)

Point 2: (3, -4)

​

​Given a line and a point not on the line, there is exactly one line through the point that is parallel to the given line.

​

​​Given a line and a point not on the line, there is exactly one line through the point that is perpendicular to the given line.

​Writing equations of parallel lines:

​Let's take a look in Desmos:

​

​You try: