#1
What is the slope of the line passing through the points (2, 4) and (6, 10)?
1
ExplanationSlope between two points: rise/run = (10-4)/(6-2) = 6/4 = 1
#2
What is the slope of a horizontal line?
0
ExplanationHorizontal lines have a slope of 0.
#3
In the equation y = 2x - 3, what does the coefficient of x represent?
The slope of the line
ExplanationIn slope-intercept form, the coefficient of x represents the slope.
#4
What is the slope of a line parallel to the x-axis?
Undefined
ExplanationLines parallel to the x-axis have undefined slope.
#5
In the equation y = mx + b, what does 'm' represent?
The slope of the line
ExplanationIn slope-intercept form, 'm' represents the slope.
#6
What is the slope of a line that is parallel to the y-axis?
Undefined
ExplanationLines parallel to the y-axis have undefined slope.
#7
What is the slope-intercept form of the equation of a line?
y = mx + b
ExplanationSlope-intercept form: y = mx + b, where m = slope, b = y-intercept.
#8
If the slope of a line is undefined, what can you conclude about the line?
It is vertical
ExplanationVertical lines have undefined slope.
#9
Which of the following represents a parallel line to the equation y = 3x + 2?
y = 3x + 5
ExplanationParallel lines have the same slope.
#10
What is the y-intercept of the line represented by the equation 3y + 2x = 6?
3
ExplanationAt the y-intercept, x = 0.
#11
What is the x-intercept of the line represented by the equation y = -2x + 6?
2
ExplanationAt the x-intercept, y = 0.
#12
Which of the following equations represents a line perpendicular to y = 4x + 1?
y = -1/4x - 2
ExplanationThe slope of a line perpendicular to another line is the negative reciprocal of the slope of the given line.
#13
What is the solution to the system of equations y = 2x + 3 and 2y - x = 5?
(2, 7)
ExplanationSolve the system of equations simultaneously to find the intersection point.
#14
If two lines are perpendicular, what is the product of their slopes?
0
ExplanationPerpendicular lines have slopes that are negative reciprocals, thus their product is -1.
#15
Which of the following pairs of lines are parallel?
2y = 3x - 1 and 4y = 6x + 2
ExplanationParallel lines have equal slopes.
#16
If two lines have the same slope, what can you say about their relationship?
They are parallel
ExplanationLines with the same slope are parallel.
#17
What is the slope of a line parallel to the line passing through the points (3, 5) and (7, 9)?
2
ExplanationThe slope between two points: rise/run = (9-5)/(7-3) = 4/2 = 2.
#18
What is the slope of a line that is parallel to the line represented by the equation 4y - 2x = 8?
1/2
ExplanationRearrange the equation to slope-intercept form and identify the slope.