Slope and Linear Functions Quiz

Grade 8 · Math · Quiz

Test your understanding of slope, linear equations, and graphing.

Questions

Slope through (0, 2) and (3, 8)?
1. 1
2. 2
3. 3
4. 6
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Answer: 2
m = (8-2)/(3-0) = 6/3 = 2.
y = 5 is a vertical line.
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Answer: False
y = 5 is horizontal. A vertical line has the form x = c.
The y-intercept of y = -3x + 9 is ___.
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Answer: 9
In y = mx + b, b = 9 is the y-intercept.
Which line has the steepest slope?
1. y = 2x + 1
2. y = -5x + 3
3. y = 0.5x
4. y = x - 4
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Answer: y = -5x + 3
Steepness = |m|. |-5| = 5 is the largest absolute value.
Slope 1/2 and y-intercept -3. Equation?
1. y = -3x + 1/2
2. y = (1/2)x - 3
3. y = 2x - 3
4. y = (1/2)x + 3
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Answer: y = (1/2)x - 3
m = 1/2 and b = -3.
Two lines with the same slope are parallel.
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Answer: True
Parallel lines have equal slopes and different y-intercepts.
The slope of a vertical line is ___.
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Answer: undefined
Vertical line: run = 0, so slope = rise/0 is undefined.
x-intercept of y = 2x - 6?
1. (0, -6)
2. (3, 0)
3. (6, 0)
4. (-6, 0)
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Answer: (3, 0)
Set y=0: 0=2x-6 so x=3. X-intercept is (3,0).
Table: x: 0,1,2,3 and y: 4,7,10,13. Slope?
1. 2
2. 3
3. 4
4. 7
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Answer: 3
Change in y / change in x = (7-4)/(1-0) = 3/1 = 3.
Every linear function passes through the origin (0,0).
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Answer: False
Only passes through origin when b=0. y=2x+5 does not pass through (0,0).