When graphing $y = \frac{3}{2}x - 2$, why might plotting points with multiples of 2 for x be preferable to finding the x-intercept?

Because the x-intercept is a fraction, which can be hard to plot accurately.

Because the y-intercept is a fraction.

Because it is impossible to find the x-intercept.

Graphing Linear Equations Practice — Grade 8 math

Lesson 1: Graphing Linear Equations — Practice Questions

1. When graphing $y = \frac{1}{3}x - 2$ by plotting points, which set of x-values would be the most convenient to avoid fractional coordinates?
- A. 0, 3, 6
- B. 1, 2, 3
- C. 0, 1, 2
- D. -1, 0, 1
2. When graphing $y = \frac{3}{2}x - 2$, why might plotting points with multiples of 2 for x be preferable to finding the x-intercept?
- A. Because the x-intercept is a fraction, which can be hard to plot accurately.
- B. Because the y-intercept is a fraction.
- C. Because it is impossible to find the x-intercept.
- D. Because the slope is negative.
3. For the equation $y = 3x + 1$, a point on its graph has an x-coordinate of 2. What is the corresponding y-coordinate? The point is $(2, \_\_\_)$.
4. Which of the following points is NOT a solution to the equation $y = -2x + 5$ and therefore does not lie on its graph?
- A. (0, 5)
- B. (1, 3)
- C. (3, -1)
- D. (4, -2)
5. To graph the equation $y = \frac{1}{4}x - 1$, a student chooses $x = 8$ to avoid fractions. What is the corresponding y-value for the point $(8, y)$? $y = \_\_\_$
6. When graphing a line, why is it recommended to plot three points instead of the minimum of two?
- A. To make the line look longer on the graph.
- B. To verify the points are collinear and check for calculation errors.
- C. Because all linear equations have exactly three solutions.
- D. To make the graph more visually complex.
7. A point on the graph of the equation $y = x - 5$ has a y-coordinate of $-2$. What is the x-coordinate of this point? $x = \_\_\_$
8. Which of the following points lies on the graph of the equation $x = -2$?
- A. (-2, 3)
- B. (3, -2)
- C. (2, -2)
- D. (0, -2)
9. The graph of the equation $x = 5$ is a...
- A. vertical line
- B. horizontal line
- C. slanted line
- D. point
10. Which of the following points lies on the graph of the equation $x = -5$?
- A. $(5, -5)$
- B. $(-5, 0)$
- C. $(0, -5)$
- D. $(-5, -5, 5)$