Relationships between Slopes and Equations of Lines Quiz

Test your knowledge on slope-intercept form, parallel, perpendicular lines, and more. Explore relationships between slopes and equations in this analytic geometry quiz.

#1

Which of the following represents the slope-intercept form of a linear equation?

y = mx + b
y = ax^2 + bx + c
y = a(x - h)^2 + k
y = ab^x
#2

If a line has a slope of 3 and passes through the point (2, 5), which of the following represents its equation?

y = 3x + 2
y = 5x + 3
y = 3x - 1
y = 5x - 3
#3

What is the slope of a horizontal line?

0
Undefined
1
Infinity
#4

If a line has a slope of 0, what type of line is it?

Vertical line
Horizontal line
Perpendicular line
Parallel line
#5

If a line has an undefined slope, what type of line is it?

Vertical line
Horizontal line
Perpendicular line
Parallel line
#6

What is the slope of a vertical line?

0
Undefined
1
Infinity
#7

If two lines are parallel, what can be said about their slopes?

They are equal
They are perpendicular
They have opposite signs
They are different but proportional
#8

If two lines are perpendicular, what can be said about their slopes?

They are equal
They are perpendicular
They have opposite signs
They are different but proportional
#9

If a line passes through the points (1, 3) and (4, 7), what is its slope?

1
2
3
4
#10

What is the slope of a line parallel to the x-axis?

0
Undefined
1
Infinity
#11

What is the equation of a line perpendicular to y = 2x + 3 passing through the point (4, -1)?

y = 2x - 3
y = -2x + 3
y = -0.5x - 1
y = -0.5x + 1
#12

What is the equation of a line parallel to y = 4x - 2 passing through the point (3, 5)?

y = 4x + 5
y = 4x - 7
y = -4x + 5
y = -4x - 7
#13

What is the equation of a line passing through the points (2, -3) and (-1, 5)?

y = 2x + 1
y = -2x - 1
y = -2x + 1
y = 2x - 1
#14

What is the equation of a line parallel to 3x - 4y = 12 and passing through the point (1, 5)?

3x - 4y = -7
3x - 4y = 16
4x - 3y = -7
4x - 3y = 16
#15

What is the equation of a line perpendicular to 2y = 3x - 6 and passing through the point (2, -1)?

3y = 2x + 5
3y = -2x - 1
2y = -3x + 5
2y = 3x - 5

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