Lesson 4: Graphing Linear Equations in Slope-Intercept Form — Practice Questions

1. 1. Using the slope formula, calculate the slope of the line that passes through the points $(-2, 8)$ and $(4, -1)$. The slope is ___.

2. 2. A line has a slope of $5$ and a y-intercept at $(0, -8)$. Which of the following is the equation of this line in slope-intercept form?

   • A. y = -8x + 5
   • B. y = 5x - 8
   • C. y = 5x + 8
   • D. x = 5y - 8

3. 3. A linear equation is given by $4x + 2y = 12$. To find the slope, you must first convert it to slope-intercept form. What is the slope of this line? ___

4. 4. In the slope-intercept form $y = mx + b$, the value of $b$ represents the y-coordinate of the y-intercept. What is the y-intercept of the line with the equation $y = -3x + 7$?

   • A. (0, 7)
   • B. (0, -3)
   • C. (7, 0)
   • D. (-3, 0)

5. 5. Calculate the slope of the line passing through the points $(1, -4)$ and $(5, 8)$. The slope is ___.

6. 6. What is the slope of the line represented by the equation $4x + 2y = 10$? ___

7. 7. Which equation represents the slope-intercept form of the line given by $y - 5 = 3(x - 2)$?

   • A. $y = 3x - 1$
   • B. $y = 3x + 1$
   • C. $y = 3x - 11$
   • D. $y = 3x + 3$

8. 8. A line passes through the points $(3, 5)$ and $(7, 13)$. What is the slope of the line? ___

9. 9. What is the y-intercept of the line with the equation $5x - y = 7$?

   • A. 7
   • B. -7
   • C. 5
   • D. -5

10. 10. To find the slope of the line $6x + 3y = 12$, what is the essential first step?

    • A. Substitute $x=0$ to find the y-intercept.
    • B. Isolate the variable $y$.
    • C. Substitute $y=0$ to find the x-intercept.
    • D. Divide the entire equation by 6.