11/30 Slopes of Parallel and Perpendicular Lines

Slopes of Parallel and Perpendicular Lines

Objective:

• ​Students will be able to relate slope to parallel and perpendicular lines.

Multiple Choice

Line r has a slope of $$-\frac{7}{6}$$  . Line s is parallel to line r. What is the slope of line s?

• $$\frac{6}{7}$$  

• $$-\frac{6}{7}$$  

• $$-\frac{7}{6}$$  

• $$\frac{7}{6}$$  

Multiple Choice

Line m has a slope of $$\frac{8}{7}$$  . Line n is parallel to line m. What is the slope of line n?

• $$\frac{8}{7}$$  

• $$-\frac{8}{7}$$  

• $$-\frac{7}{8}$$  

• $$\frac{7}{8}$$  

Multiple Choice

Line r has a slope of $$-\frac{9}{8}$$  . Line s is parallel to line r. What is the slope of line s?

• $$\frac{9}{8}$$  

• $$-\frac{9}{8}$$  

• $$\frac{8}{9}$$  

• $$-\frac{8}{9}$$  

​FLIP the fraction and SWITCH the sign!!

(​OPPOSITE)

___________

Multiple Choice

Line c has a slope of $$-\frac{9}{8}$$  . Line d is perpendicular to c. What is the slope of line d?

• $$-\frac{9}{8}$$  

• $$\frac{9}{8}$$  

• $$\frac{8}{9}$$  

• $$-\frac{8}{9}$$  

Multiple Choice

The equation of line f is  $$y=\frac{7}{8}x+8$$  . Line g is perpendicular to f. What is the slope of line g?

• $$\frac{7}{8}$$  

• $$-\frac{7}{8}$$  

• $$\frac{8}{7}$$  

• $$-\frac{8}{7}$$  

Multiple Choice

The equation of line f is  $$y=-\frac{7}{2}x+\frac{7}{9}$$  . Line g is perpendicular to f. What is the slope of line g?

• $$\frac{7}{2}$$  

• $$-\frac{7}{2}$$  

• $$\frac{2}{7}$$  

• $$-\frac{2}{7}$$  

Multiple Choice

Line s has a slope of $$\frac{6}{7}$$  . Line t has a slope of $$-\frac{7}{6}$$  . Are line s and line t parallel or perpendicular?

• parallel

• perpendicular

• neither

Multiple Choice

The equation of line a is $$y=-\frac{7}{9}x+6$$  . The equation of line b is $$y=\frac{9}{7}x+4$$  . Are line a and line b parallel or perpendicular?

• parallel

• perpendicular

• neither

Multiple Choice

Line s passes through points (8, 4) and (1, 10). Line t passes through points (9, 4) and (2, 10). Are line s and line t parallel or perpendicular?

• parallel

• perpendicular

• neither

QUIZ TIME!

Dropdown

Slopes of parallel lines are...​ ​

Select answer

Drag and Drop

Slopes of perpendicular lines are...​

Placeholder

Drag these tiles and drop them in the correct blank above

opposite reciprocals

the same

always 0

opposites

negative

Multiple Choice

y = 3x +2

y = 3x - 3

These lines are...

• Parallel

• Perpendicular

• Neither

Drag and Drop

Line a passes through (2, 4) and (4, 7)

Line b passes through (-5, 3) and (-3, 6)

Lines a and b are ? ​ ​

Placeholder

Drag these tiles and drop them in the correct blank above

Parallel

Perpendicular

Neither

Drag and Drop

y = -2/3x + 2

y = 3/2x + 9

These lines are...​

Placeholder

Drag these tiles and drop them in the correct blank above

Perpendicular

Parallel

Neither

Multiple Choice

A line is perpendicular to y= 2x - 7

What is the slope of this line?

• 1/2

• -2

• -1/2

• 2

Match

Match the following slopes as Parallel, Perpendicular and Neither.

• m=2 and m=2

• m= -1/2 and m= 3/4

• m= 2/3 and m= -3/2

• m= 1/2 and m=2/4

• m= 5/6 and m= -5/6

Parallel

Neither

Perpendicular

Parallel

Neither

• Parallel

• Neither

• Perpendicular

• Parallel

• Neither

Multiple Select

Choose ALL the lines PARALLEL to the following line: $$y\ =\ \frac{2}{9\ }x\ +3$$  

• y = 2/9 x + 8

• 9y = 2x -18

• -2y = 9x + 8

• y = 9/2x -12

Multiple Select

Select all the lines that are PERPENDICULAR to y = 3/4 x + 9

• y = 3/4 x - 3

• y = -3/4 x + 9

• y = -4/3 x + 8

• 3y = -4x + 5

• 4y = -3x + 7

Multiple Choice

y = 3/2x + 2

y = 2/3x + 6

These lines are...

• Parallel

• Pernpendicular

• Neither

Multiple Choice

y = 3/2x + 2

y = 2/3x + 6

These lines are...

• Parallel

• Pernpendicular

• Neither

Dropdown

Line a passes through (0, 3) and (-4, 8)

Line b passes through (0, 5) and (5,9)

Lines a and b are ?​

Select answer

Dropdown

Line a passes through (0, 3) and (-4, 8)

Line b passes through (0, 5) and (5,9)

Lines a and b are ?​

Select answer

Dropdown

y = 6x + 2

​ y = -6x + 2

These lines are... ​

Select answer

Dropdown

y = 6x + 2

​ y = -6x + 2

These lines are... ​

Select answer