What are the x- and y-intercepts of the line given by the equation $6x + 5y = 30$?

$x$-intercept: 5, $y$-intercept: 6

$x$-intercept: 6, $y$-intercept: 5

$x$-intercept: 3, $y$-intercept: 2

$x$-intercept: -5, $y$-intercept: -6

To find the point where a line's graph crosses the vertical y-axis, which is the correct procedure?

Set $x = 0$ in the equation and solve for $y$.

Set $y = 0$ in the equation and solve for $x$.

Set $x = 1$ in the equation and solve for $y$.

Set $y = x$ in the equation and solve.

What are the x- and y-intercepts of the equation $x - 4y = 8$?

$x$-intercept: 8, $y$-intercept: -2

$x$-intercept: -2, $y$-intercept: 8

$x$-intercept: 8, $y$-intercept: 2

$x$-intercept: 4, $y$-intercept: -1

Locating and Using Intercepts Practice — Grade 9 math

Lesson 35: Locating and Using Intercepts — Practice Questions

1. What is the x-intercept of the line given by the equation $3x + 4y = 24$? The x-intercept is ___.
2. Find the y-intercept of the linear equation $5x - 2y = 20$. The y-intercept is ___.
3. What are the x- and y-intercepts of the line given by the equation $6x + 5y = 30$?
- A. $x$-intercept: 5, $y$-intercept: 6
- B. $x$-intercept: 6, $y$-intercept: 5
- C. $x$-intercept: 3, $y$-intercept: 2
- D. $x$-intercept: -5, $y$-intercept: -6
4. To find the point where a line's graph crosses the vertical y-axis, which is the correct procedure?
- A. Set $x = 0$ in the equation and solve for $y$.
- B. Set $y = 0$ in the equation and solve for $x$.
- C. Set $x = 1$ in the equation and solve for $y$.
- D. Set $y = x$ in the equation and solve.
5. What are the x- and y-intercepts of the equation $x - 4y = 8$?
- A. $x$-intercept: 8, $y$-intercept: -2
- B. $x$-intercept: -2, $y$-intercept: 8
- C. $x$-intercept: 8, $y$-intercept: 2
- D. $x$-intercept: 4, $y$-intercept: -1
6. To find the x-intercept for the linear equation $3x + 5y = 15$, you set $y=0$. What is the value of $x$ at this point? The x-intercept is (___, 0).
7. What is the y-intercept of the line given by the equation $6x - 2y = 18$? The y-intercept is at the point (0, ___).
8. To graph the equation $2x + 9y = 18$ using intercepts, which two points should be plotted on the axes?
- A. $(9, 0)$ and $(0, 2)$
- B. $(0, 9)$ and $(2, 0)$
- C. $(2, 0)$ and $(0, 9)$
- D. $(18, 0)$ and $(0, 18)$
9. When finding the y-intercept of a linear equation, what value is always substituted for $x$?
- A. 0
- B. 1
- C. The value of y
- D. The coefficient of x
10. A line is graphed by plotting its intercepts at $(5, 0)$ and $(0, -2)$ and drawing a line through them. Which of the following equations represents this line?
- A. 2x + 5y = 10
- B. 5x + 2y = 25
- C. 2x - 5y = 10
- D. 5x - 2y = 10