To graph the equation $y = \frac{7}{3}x$, you start by plotting the origin $(0, 0)$. What is the correct next step to find a second point using the slope?

From the origin, move up 7 units and right 3 units.

From the origin, move up 3 units and right 7 units.

From the origin, move to the point $(7, 0)$.

From the origin, move to the point $(0, 3)$.

Graph Proportional Relationships Practice — Grade 7 math

Lesson 5: Graph Proportional Relationships — Practice Questions

1. A proportional relationship is graphed passing through the point $(4, 20)$. Write the equation for this relationship in the form $y = mx$. The equation is $y = \text{\_\_\_}$.
2. Which equation represents a proportional relationship that passes through the point $(6, 18)$?
- A. $y = 3x$
- B. $y = \frac{1}{3}x$
- C. $y = 18x$
- D. $y = x + 12$
3. To graph the equation $y = \frac{7}{3}x$, you start by plotting the origin $(0, 0)$. What is the correct next step to find a second point using the slope?
- A. From the origin, move up 7 units and right 3 units.
- B. From the origin, move up 3 units and right 7 units.
- C. From the origin, move to the point $(7, 0)$.
- D. From the origin, move to the point $(0, 3)$.
4. A line representing a proportional relationship passes through the point $(5, 35)$. What is the constant of proportionality, $m$? $m = \text{\_\_\_}$.
5. The equation for a proportional relationship is $y = 6x$. Besides the origin, which of the following points lies on the graph of this equation?
- A. $(6, 1)$
- B. $(3, 18)$
- C. $(18, 3)$
- D. $(6, 6)$
6. A graph shows the distance a train travels in miles versus time in hours. If the point $(4, 240)$ is on the graph, what does it represent?
- A. The train travels 4 miles in 240 hours.
- B. The train travels 240 miles in 4 hours.
- C. The train's speed is 240 miles per hour.
- D. The total trip is 244 miles long.
7. A proportional relationship is graphed with cost on the y-axis and tickets on the x-axis. The point $(8, 40)$ is on the graph. What is the unit rate in dollars per ticket? ___
8. On a graph showing a proportional relationship between earnings and hours worked, what does the point $(1, 22)$ represent?
- A. The total earnings after 22 hours.
- B. The starting amount of money.
- C. The unit rate of 22 dollars per hour.
- D. It takes 22 hours to earn 1 dollar.
9. A graph shows the number of cookies baked over time. The point $(3, 75)$ is on the graph. This means the point $(1, r)$, which represents the unit rate, is also on the graph. What is the value of $r$? ___
10. The graph of a proportional relationship must pass through a specific point that shows that zero units of one quantity corresponds to zero units of the other. Which point is this?
- A. (1, 1)
- B. (0, 0)
- C. (1, 0)
- D. (0, 1)