Lesson 6. Slopes from equations and parallel and perpendicular lines.
1. Drag and drop the terms to the descriptions.
Choices:
vertical, slope, horizontal, product
a. A _____ line has an undefined slope and is parallel to the y -axis.
b. The _____ of the slopes of two non-vertical, perpendicular lines will always be −1.
c. Two non-vertical, parallel lines will have the same _____.
d. A _____ line has a slope of 0 and is parallel to the x-axis.
2. Use the graph to answer the question. (attached q2)
Graph of three lines that may be parallel and/or perpendicular
Which lines of A, B, and C, are parallel, and how do you know?
a. B and C are parallel because their slopes are the same.
b. A and B are parallel because their slopes are negative reciprocals.
c. A and C are parallel because their slopes are the same.
d. B and C are parallel because the product of their slopes is -1
3. Use the graph to answer the question. (attached question3)
Which lines of A, B, and C, are perpendicular, and how do you know?
a. A is perpendicular to both B and C; the product of the slopes of A and B or A and C is -1.
b. A is perpendicular to B only; the slope of C is NOT the negative reciprocal of the slope of A.
c. A is perpendicular to both B and C; the slope of B is the negative reciprocal of the slope of C.
d. B is perpendicular to C only; their slopes are the same.
4. Identify the equations as parallel lines, perpendicular lines, or neither.
Equation 1: -10x+5y=5 Equation 2: 3y-9=6x
5. Identify the equations as parallel lines, perpendicular lines, or neither.
Equation 1: -x+3y=9 Equation 2: 9x+3y=-24
6. Identify the equations as parallel lines, perpendicular lines, or neither.
Equation 1: 5+10x=8y Equation 2: 8x-10y=-7
7. Identify the equations as parallel lines, perpendicular lines, or neither.
Equation 1: -2x+3y=11 Equation 2: 6y=4-9x
