Lesson 5: Graphing Linear Equations in Standard Form — Practice Questions

1. 1. What is the $x$-coordinate of the $x$-intercept for the linear equation $3x + y = 9$? The coordinate is ___.

2. 2. Find the $y$-coordinate of the $y$-intercept for the equation $4x - y = 8$. The value is ___.

3. 3. What are the $x$-intercept and $y$-intercept of the equation $2x + 5y = 10$?

   • A. $x$-intercept: $(2, 0)$, $y$-intercept: $(0, 5)$
   • B. $x$-intercept: $(5, 0)$, $y$-intercept: $(0, 2)$
   • C. $x$-intercept: $(-5, 0)$, $y$-intercept: $(0, -2)$
   • D. $x$-intercept: $(10, 0)$, $y$-intercept: $(0, 10)$

4. 4. To find the $y$-intercept of a linear equation's graph, which algebraic step should be performed first?

   • A. Set $y = 0$
   • B. Set $x = 0$
   • C. Set $x = y$
   • D. Solve the equation for $x$

5. 5. The graph of the equation $y = -4x$ passes through the origin. What is the $y$-coordinate of its $y$-intercept? The coordinate is ___.

6. 6. Convert the linear equation $5x + 2y = 12$ into slope-intercept form. Write the resulting equation for $y$. $y$ = ___

7. 7. What is the slope of the line represented by the equation $6x - 3y = 9$?

   • A. 2
   • B. -2
   • C. 3
   • D. -3

8. 8. The equation $4x + 3y = 18$ is rewritten in the form $y = mx + b$. What is the value of the y-intercept, $b$? $b$ = ___

9. 9. Which equation is the correct slope-intercept form for the linear equation $5x - y = 11$?

   • A. y = 5x + 11
   • B. y = -5x + 11
   • C. y = 5x - 11
   • D. y = -5x - 11

10. 10. Which of the following equations is equivalent to $-2x + 4y = 16$?

    • A. $y = \frac{1}{2}x + 4$
    • B. $y = -\frac{1}{2}x + 4$
    • C. y = 2x + 4
    • D. $y = \frac{1}{2}x + 16$