Download - 5.6 Parallel & Perpendicular Lines
![Page 1: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/1.jpg)
5.6 Parallel & Perpendicular Lines
5.6 Parallel & Perpendicular Lines
![Page 2: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/2.jpg)
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
![Page 3: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/3.jpg)
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
![Page 4: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/4.jpg)
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 + _____
![Page 5: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/5.jpg)
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 + _____
![Page 6: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/6.jpg)
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 = _______
![Page 7: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/7.jpg)
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 = _______
![Page 8: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/8.jpg)
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 = _______
![Page 9: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/9.jpg)
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 = __________
![Page 10: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/10.jpg)
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 = __________
![Page 11: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/11.jpg)
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 -____)__________________________
![Page 12: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/12.jpg)
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)___________________________________________________
![Page 13: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/13.jpg)
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 = _______________
![Page 14: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/14.jpg)
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 + ______
![Page 15: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/15.jpg)
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 = _______________
![Page 16: 5.6 Parallel & Perpendicular Lines](https://reader036.vdocuments.us/reader036/viewer/2022082702/5559cb42d8b42a98208b47fe/html5/thumbnails/16.jpg)
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 + ______