Perpendicular Lines - Analytic Geometry

Which pair of lines is perpendicular? A. y=8x+1 and y=-8x+5 B. y=4x-3 and y=1/4x+2 C. y=5x+8 and y=-1/5x+3 D. y=3x-1 and y=1/3x+1

C. y=5x+8 and y=-1/5x+3

The slope of a line is -1/2. What is the slope of a line that is perpendicular to it? A. 1/2 B. 2 C. -1/2 D. -2

B. 2

A line passes through the origin and has a slope of -3. What is the equation of the line that is perpendicular to the first line and passes through the point (3, 4)? A. y=1/3x B. y=3x-5 C. y=1/3x+3 D. y=-1/3x+5

C. y=1/3x+3

What is the equation of the line that is perpendicular to y = 2x - 4 and has a y-intercept of -2? A. x + 2y = -4 B. y= -1/2x +2 C. y= -2x -2 D. 2x + y = 2

A. x + 2y = -4

The slope of a line is -4 and its y-intercept is (0, 4). What is the equation of the line that is perpendicular to the first line and passes through (-8, 2)? A. y = 1/4x + 4 B. y = -4x - 30 C. y = 1/4x - 2 D. y = 4x + 34

A. y = 1/4x + 4

Which pair of lines are perpendicular? A. y = 2x - 1 and 2y = -x + 3 B. y = 3x + 4 and 3y - x = 5 C. y = -4x + 2 and x + 4y = 6 D. y = -6x - 3 and 6x - y = 4

A. y = 2x - 1 and 2y = -x + 3

Find the equation of the line through the point (-2, -2) that is perpendicular to the line y = 2x - 1. A. y = -2x - 9/4 B. y = 2x - 3 C. y = -1/2x - 3 D. y = -1/2x + 3

C. y = -1/2x - 3

A line passes through the point (-2, 4), and its y-intercept is (0, -6). What is the equation of the line that is perpendicular to the first line and passes through the point (5, -4)? A. y= 1/5x -3 B. y= 5x -3 C. y= 1/5x - 5 D. y= 5/3x - 2

C. y= 1/5x - 5

The graph of which of the following will be perpendicular to the graph of y = 2x - 4? A. 2x + y = 4 B. 4x - 2y = 4 C. y = -2x + 8 D. 2x + 4y = 1

D. 2x + 4y = 1

What is the first step to show that two lines are perpendicular, by looking at the equations of the lines, if they are written in standard form? A. Find the slope of each line. B. Graph each equation. C. Find the y-intercept of each line. D. Re-write each equation in slope-intercept form.

D. Re-write each equation in slope-intercept form.

Which equation represents a line that is perpendicular to the line y = 1/4x -1? A. y = -1/4x - 3 B. y = 1/4x + 1 C. y = 4x - 5 D. y = -4x - 2

D. y = -4x - 2

Two perpendicular lines intersect at the origin. If the slope of the first line is -1/2, what is the equation of the second line? A. y = -2x B. y = 1/2x C. y = -1/2x D. y = 2x

D. y = 2x

The equation of a line is y= -2/3x-1. What is the equation of the line that is perpendicular to the first line and passes through (-4, 3)? A. y= 3/2x +9 B. y= 2/3x +17/3 C. y = 3/2x -3 D. y= -3/2x -3

A. y= 3/2x +9

What is the equation of the line that passes through (-2, -3) and is perpendicular to 2x - 3y = 6? A. y=-3/2x -6 B. y=-2/3x +6 C. y=2x +3 D. y=3/2x

A. y=-3/2x -6

Which pair of equations are perpendicular lines? A. 5x + 2y = 9 and y = -5/2x +27/2 B. x - 3y = 11 and y = -3x + 23 C. 4x + 2y = 6 and y = -2x + 18 D. x - 3y = 5 and y = 3x - 11

B. x - 3y = 11 and y = -3x + 23

Two lines are perpendicular. The equation of the first line is y = 4x + 1. Which of the following cannot be the equation of the second line? A. y = -1/4x -2 B. x - 4y = -2 C. x + 4y = 2 D. 8y = -2x - 5

B. x - 4y = -2

The vertices of a triangle are A(-2, 2), B(9, 0), and C(1, -4). If the triangle is a right triangle, which vertex is the right angle? A. A B. B C. C D. none, it is not a right triangle

C. C

Two lines are perpendicular, and neither line is horizontal. Which of the following is not necessarily true of the lines? A. The slopes of the two lines are opposite reciprocals. B. One line must have a positive slope. C. The y-intercepts are the same. D. One line must have a negative slope.

C. The y-intercepts are the same.

Two perpendicular lines intersect at the origin. If the slope of the first line is 3, what is the equation of the second line? A. y = -3x B. y = 1/3x C. y = -1/3x D. y = 1/3x + 1

C. y = -1/3x

The equation of a line is y= -1/2x -2. What is the equation of the line that is perpendicular to the first line and passes through the point (2, -2)? A. y = 2x - 2 B. y= 1/2x -3 C. y = 2x - 6 D. y = -2x + 2

C. y = 2x - 6