# Parallel & Perpendicular Slopes II

## Presentation on theme: "Parallel & Perpendicular Slopes II"— Presentation transcript:

Parallel & Perpendicular Slopes II
Unit 6

Warm Up Which of these lines are parallel? Why?
Which are perpendicular? Why? a)  y = 2x + 3   b)  y = −2x + 3   c)  y = ½x + 3   d)  y = 2x − 3

If a line has slope 5, then what is the slope of a perpendicular line?
If a line has slope − 2/3, then what is the slope of a parallel line? If a line has slope − 2/3, then what is the slope of a perpendicular line? If a line has slope 4, then what is the slope of a parallel line? If a line has equation y = 6x − 5, then what is the slope of a perpendicular line?

Write an equation of the line that is parallel to the given line and passes through the given point.
y = -4x – 7, (5, -3) Determine the slope. Plug the slope and the new points into the slope intercept form, y = mx + b. This is the new equation for the line that is parallel.

Write an equation of the line that is parallel to the given line and passes through the given point.
Y = -2/3 x + 4, (-6, 5) Determine the slope. Plug the slope and the new points into the slope intercept form, y = mx + b. This is the new equation for the line that is parallel.

Write an equation of the line that is parallel to the given line and passes through the given point.
y = 3x + 6, (-9, 12) Determine the slope. Plug the slope and the new points into the slope intercept form, y = mx + b. This is the new equation for the line that is parallel.

Write an equation of the line that is perpendicular to the given line and passes through the given point. y = -1/2 x (0, 1) Determine the slope. Plug the slope and the new points into the slope intercept form, y = mx + b. This is the new equation for the line that is parallel.