Slope Intercept Form Quiz
Questions: 16 · 10 minutes
1. A tank begins with 12 liters of water and fills at 3 liters per minute. If x is the number of minutes and y is the amount of water, which equation models the situation?
y = 3x - 12, subtracting the initial amount
y = 12x + 3, treating twelve as the rate
y = 3x + 12, adding the initial amount to the accumulated water
y = 12 - 3x, modeling the amount as decreasing
2. Where does the line y = -2x + 8 cross the x-axis?
The point (8, 0)
The point (0, 4)
The point (4, 0)
The point (0, 8)
3. Which equation represents a line with slope 2 and y-intercept 6?
y = 2x + 6, with positive slope and positive intercept
y = -2x + 6, with negative slope and positive intercept
y = 6x + 2, with slope six and intercept two
y = 2x - 6, with positive slope and negative intercept
4. Why can the vertical line x = 5 not be written in slope-intercept form y = mx + b?
Its slope is undefined.
Its y-intercept equals five.
Its slope equals zero.
It passes through the origin.
5. Which equation represents a horizontal line passing through (4, -6)?
y = 4x - 6, a rising line
y = -6x + 4, a falling line
y = -6, a horizontal line
x = 4, a vertical line
6. Which equation is equivalent to 2x + y = 9?
y = 2x + 9, using a positive slope of two
y = -2x - 9, using negative two and negative nine
y = -2x + 9, using a negative slope and positive intercept
y = 9x - 2, using slope nine and intercept negative two
7. In the equation y = -3x + 7, what is the slope?
Negative seven
Positive three
Positive seven
Negative three
8. Compare y = 0.5x + 3 and y = -2x + 1. Which statement is correct?
The second line is steeper and falls from left to right.
The first line is steeper and falls from left to right.
The first line is steeper and rises from left to right.
The second line is steeper and rises from left to right.
9. The lines y = 2x + 1 and y = -x + 7 intersect at which point?
The point (1, 3)
The point (2, 5)
The point (3, 7)
The point (2, 3)
10. At which point does the line y = 4x - 5 cross the y-axis?
The point (-5, 0)
The point (4, -5)
The point (0, 4)
The point (0, -5)
11. Which line is parallel to y = -(1/2)x + 4 and has a y-intercept of -3?
y = 2x - 3, with slope positive two
y = -(1/2)x - 3, with slope negative one-half
y = (1/2)x - 3, with slope positive one-half
y = -3x + 4, with slope negative three
12. Which point lies on the line y = 3x - 2?
The point (2, 4)
The point (1, 2)
The point (2, 6)
The point (3, 5)
13. A line passes through (2, 5) and (6, 13). Which equation represents the line?
y = 2x - 1, with intercept negative one
y = 2x + 1, with intercept positive one
y = 4x - 3, with slope four
y = 8x - 11, with slope eight
14. A line crosses the y-axis at 2. From that point, it rises 3 units for every 4 units it moves right. Which equation describes it?
y = (4/3)x + 2, using rise four and run three
y = (3/4)x + 2, using rise three and run four
y = 2x + 3/4, treating two as the slope
y = (3/4)x - 2, using a negative y-intercept
15. Rewrite 3y = 6x + 12 in slope-intercept form.
y = 6x + 4
y = 3x + 6
y = 2x + 12
y = 2x + 4
16. A student says that y = 5 - 2x has slope 2 and y-intercept 5. What is the best correction?
The slope is positive five, and the y-intercept is negative two.
The slope is negative two, and the y-intercept is negative five.
The slope is positive two, and the y-intercept is negative five.
The slope is negative two, and the y-intercept is positive five.