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.

•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.

y = -1/2 x + 1 (0, 1)