3-1 Graphing Linear Functions — Practice Questions

1. 1. What is the x-intercept of the line with the equation $4x + 2y = 12$?

   • A. (3, 0)
   • B. (0, 6)
   • C. (6, 0)
   • D. (0, 3)

2. 2. What is the y-intercept of the line given by the equation $5x - 2y = 10$? Enter the answer as a coordinate pair, like $(a, b)$. ___

3. 3. To find the y-intercept of a linear equation, which of the following steps is correct?

   • A. Set $x = 0$ and solve for $y$.
   • B. Set $y = 0$ and solve for $x$.
   • C. Set $x = 1$ and solve for $y$.
   • D. Set $y = x$ and solve.

4. 4. What are the x- and y-intercepts of the line given by the equation $2x - y = 4$?

   • A. x-intercept: $(2, 0)$, y-intercept: $(0, -4)$
   • B. x-intercept: $(-2, 0)$, y-intercept: $(0, 4)$
   • C. x-intercept: $(0, 2)$, y-intercept: $(-4, 0)$
   • D. x-intercept: $(4, 0)$, y-intercept: $(0, 2)$

5. 5. The graph of the equation $-x + 5y = -10$ crosses the x-axis at $x = $ ___.

6. 6. To find the x-intercept of the line given by the equation $3x + y = 9$, you would set $y=0$. What is the value of $x$ at the x-intercept? ___

7. 7. What is the y-coordinate of the y-intercept for the line represented by the equation $2x - 4y = 8$? ___

8. 8. Which of the following correctly identifies the x- and y-intercepts of the line given by the equation $x + 3y = 6$?

   • A. x-intercept is (6, 0) and y-intercept is (0, 2)
   • B. x-intercept is (0, 6) and y-intercept is (2, 0)
   • C. x-intercept is (2, 0) and y-intercept is (0, 6)
   • D. x-intercept is (0, 2) and y-intercept is (6, 0)

9. 9. To find the y-intercept of a line from its equation, which step is correct?

   • A. Set $x = 0$ and solve for $y$.
   • B. Set $y = 0$ and solve for $x$.
   • C. Set $x = 1$ and solve for $y$.
   • D. Set both $x$ and $y$ to 0.

10. 10. The line $y = -4x$ passes through the origin. To help graph it, we need another point. If $x=2$, what is the corresponding value of $y$? ___