5.6 parallel & perpendicular lines

5.6 Parallel & Perpendicular Lines

5.6 Parallel & Perpendicular Lines

1. Parallel lines have the same slope

1. Parallel lines have the same slope

Slope of Line A =

Slope of Line B =

Slope of Line A =

Slope of Line A =

Slope of Line B =

Slope of Line A =

Line A

Line B

11

11

Slope of Line BSlope of Line B

2. Perpendicular lines slope at 90°

2. Perpendicular lines slope at 90°

Slope of Line A =

Slope of Line B =

Slope of Line A =

Slope of Line A =

Slope of Line B =

Slope of Line A =

Line A

Line B

11

-1-1

Opposite Reciprocal of Line BOpposite Reciprocal of Line B

Write an equation in slope-intercept form for the line parallel to each line

below with a y-intercept of 3.

Write an equation in slope-intercept form for the line parallel to each line

below with a y-intercept of 3.3. Y = 4x + 2

Step 1: Identify SlopeM = _________

Step 2: Write equationY = mx + bY = ___x + _____

3. Y = 4x + 2Step 1: Identify SlopeM = _________

Step 2: Write equationY = mx + bY = ___x + _____

Write an equation in slope-intercept form for the line parallel to each line

below with a y-intercept of 3.

Write an equation in slope-intercept form for the line parallel to each line

below with a y-intercept of 3.4. Y = -3x - 2

Step 1: Identify SlopeM = _________

Step 2: Write equationY = mx + bY = ___x + _____

4. Y = -3x - 2Step 1: Identify SlopeM = _________

Step 2: Write equationY = mx + bY = ___x + _____

6. Find a perpendicular slope of the following slopes.

6. Find a perpendicular slope of the following slopes.

6. Slope = 1/2

Perpendicular Slope = _______

6. Slope = 1/2

Perpendicular Slope = _______

7. Find a perpendicular slope of the following slopes.

7. Find a perpendicular slope of the following slopes.

7. Slope = 5/6

Perpendicular Slope = _______

7. Slope = 5/6

Perpendicular Slope = _______

8. Find a perpendicular slope of the following slopes.

8. Find a perpendicular slope of the following slopes.

8. Slope = -4

Perpendicular Slope = _______

8. Slope = -4

Perpendicular Slope = _______

Find the slope of a line that is perpendicular to the following lines.

Find the slope of a line that is perpendicular to the following lines.

9. Y = 3x + 2

Slope = _______

Perpendicular Slope = __________

9. Y = 3x + 2

Slope = _______

Perpendicular Slope = __________

Find the slope of a line that is perpendicular to the following lines.

Find the slope of a line that is perpendicular to the following lines.

10. 3x + 12y = 12

Slope = _______Perpendicular Slope = __________

10. 3x + 12y = 12

Slope = _______Perpendicular Slope = __________

Write an equation in point-slope form for the line that contains the point (-3, 4), and is perpendicular to the graph

of the equation.

Write an equation in point-slope form for the line that contains the point (-3, 4), and is perpendicular to the graph

of the equation.

12.Y = 2x + 3Step 1: Identify SlopeSlope = _______Perpendicular Slope = ______Step 2: Write Equation

y – y1 = m (x – x1)y - ___ = ___(x -____)__________________________

12.Y = 2x + 3Step 1: Identify SlopeSlope = _______Perpendicular Slope = ______Step 2: Write Equation

y – y1 = m (x – x1)y - ___ = ___(x -____)__________________________

Write an equation in point-slope form for the line that contains the point (-3, 4), and is perpendicular to the graph

of the equation.

Write an equation in point-slope form for the line that contains the point (-3, 4), and is perpendicular to the graph

of the equation.13. 3x + y = 7

Step 1: Identify SlopeSlope = _______Perpendicular Slope = ______Step 2: Write Equation

y – y1 = m (x – x1)___________________________________________________

13. 3x + y = 7

Step 1: Identify SlopeSlope = _______Perpendicular Slope = ______Step 2: Write Equation

y – y1 = m (x – x1)___________________________________________________

Write an equation in slope-intercept form that is perpendicular to the given line.

Write an equation in slope-intercept form that is perpendicular to the given line.

15. (-3, -5), y = 3x - 1

Step 1: Identify SlopeSlope (m) = _______Perpendicular Slope = __

15. (-3, -5), y = 3x - 1

Step 1: Identify SlopeSlope (m) = _______Perpendicular Slope = __

Step 2: Write EquationY = mx + b_____ = _____(____) + b

b = _______________

15. Write an equation in slope-intercept form that is perpendicular to the given line.

15. Write an equation in slope-intercept form that is perpendicular to the given line.

M = -1/3

b = -6

Y = mx + b

Y = ____x + ______

M = -1/3

b = -6

Y = mx + b

Y = ____x + ______

Write an equation in slope-intercept form that is perpendicualr to the given line.

Write an equation in slope-intercept form that is perpendicualr to the given line.

16. (5, 4) y - 10 = -5x 2

Step 1: Identify SlopeSlope (m) = _______Perpendicular Slope = __

16. (5, 4) y - 10 = -5x 2

Step 1: Identify SlopeSlope (m) = _______Perpendicular Slope = __

Step 2: Write EquationY = mx + b_____ = _____(____) + b

b = _______________

16. Write an equation in slope-intercept form that is perpendicular to the given line.

16. Write an equation in slope-intercept form that is perpendicular to the given line.

M = 2/5

b = 2

Y = mx + b

Y = ____x + ______

M = 2/5

b = 2

Y = mx + b

Y = ____x + ______