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Relationships between Slopes and Equations of Lines Quiz

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#1

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

y = mx + b
Explanation

Linear equation in terms of slope and intercept.

#2

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

y = 5x - 3
Explanation

Equation using slope-intercept form.

#3

What is the slope of a horizontal line?

0
Explanation

Horizontal lines have a slope of zero.

#4

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

Horizontal line
Explanation

Lines parallel to the x-axis.

#5

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

Vertical line
Explanation

Lines parallel to the y-axis.

#6

What is the slope of a vertical line?

Undefined
Explanation

Vertical lines have undefined slopes.

#7

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

They are equal
Explanation

Parallel lines have equal slopes.

#8

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

They are perpendicular
Explanation

Perpendicular lines have negative reciprocal slopes.

#9

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

2
Explanation

Change in y over change in x.

#10

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

Undefined
Explanation

Parallel to x-axis means no change in y.

#11

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

y = -0.5x - 1
Explanation

Negative reciprocal slope.

#12

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

y = 4x + 5
Explanation

Parallel lines have the same slope.

#13

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

y = -2x - 1
Explanation

Using two-point form.

#14

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

3x - 4y = -7
Explanation

Same slope as the given line.

#15

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

3y = 2x + 5
Explanation

Negative reciprocal slope.

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