5.6 parallel & perpendicular lines
TRANSCRIPT
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
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-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 + ______