Equations of Parallel and Perpendicular Lines: Assignment

Is triangle ABC a right triangle?

C. yes, because BC is perpendicular to AC

What is the slope of the line that is parallel to the y-axis and passes through the point (-1, 5)?

D. undefined

Is the line y = 3x - 7 parallel or perpendicular to 3x + 9y = 9? Explain your answer.

Sample Answer: The lines are perpendicular because perpendicular lines have slopes that are opposite reciprocals. To compare the slopes, you can rewrite the second equation in slope-intercept form as y = (-1/3)x + 1. The slope of the given line is 3, and the slope of the second line is -1/3. These have a product of -1, which means they are opposite reciprocals. Thus, the two lines are perpendicular.

Determine the equation of the line perpendicular to the line y = -8 through the point (-4, -2). The line y = -8 is _____ The line perpendicular to the line y = -8 is _____ The equation of the line perpendicular to the line y = -8 through the point (-4, -2) is ____

Blank One: Horizontal Blank Two: vertical Blank Three: x=-4

For which value of a are the graphs of -4 = 3x + 6y and ax - 8y = 12 parallel?

a=-4

Which lines are parallel to the graph of 4x - y = 6? Check all that apply

3. y + 1 = 4(x - 2) 4. y = 4x + 11 6. 8x - 2y = 6

Consider the line y = 2/3x - 4. A line parallel to the graph of the line would have a slope of ____. A line perpendicular to the graph of the line would have a slope of ___.

Blank One: 2/3 Blank Two: -3/2

Are the lines perpendicular?

B. no, because the slopes of the lines are not opposite reciprocals

A quadrilateral has vertices E(-4, 2), F(4, 7), G(8, 1), and H(0, -4). Which statements are true? Check all that apply.

2. The slopes of EF and GH are both 5/8. 4. Quadrilateral EFGH is a parallelogram because both pairs of opposite sides are parallel.

Determine the slope-intercept form of the equation of the line parallel to y =-4/3 x + 11 that passes through the point (-6, 2). y=___x+___

Blank One: -4/3 Blank Two: -6