Warm-up

Graph: 4x – 6y = 18

Write the equation of the line with slope ½ and through the point (4, -5). Use point slope form.

Write it in slope intercept form

3.6 Slopes of Parallel and

Perpendicular Lines10/31 with practice on 11/1

I can tell if two lines are parallel or perpendicular by finding their slopes.

I can write equations of parallel and perpendicular lines.

Learning Targets

Parallel Lines have equal slopes (and different y intercepts)

Line 1 contains A(-4, 2) and B(3, 1) Line 2 contains C(-4, 0) and D(8, -2)Are Lines 1 and 2 Parallel? Hint, find the slopes

Are Lines 4y – 12x = 20 and y = 3x -1 Parallel?

Are lines y = - x + 6 and 2x + 4y = 20 Parallel?

Write an equation for the line parallel to y = -4x + 3 and through the point (1, -2)

Write an equation for the line parallel to y = 8x – 2 and through the point (6, -1)

Perpendicular Lines have slopes that are negative reciprocals of each other (their product is -1)

What is a negative reciprocal?

Line 1 goes through (-2, 3) and (6, -3)

Line 2 goes through (-3, -2) and (0, 2)Are lines 1 and 2 Perpendicular? Hint: find the slopes

Are the following lines perpendicular?

2x – 7y = -424y = -7x – 2

Are the following lines perpendicular?

2x + 3y = 66x – 4y = 24

Write an equation of a line Perpendicular to y = -3x + 5 and through the point (-3, 7)

Write the equation for a line that contains (1, 8) and is perpendicular to y = ¾ x + 1

No homework, but be prepared to practice this further.

Practice worksheet with follow up quiz on Monday

Day 3 Review 3.5-3.6 (11/1)

Review, go over hmwk wkst, review problems

Quiz with 25-30 mins left

Monday 11/4

Homework p. 314 #2-36 even