Lesson 4-5: 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. A line passes through the point $(7, 0)$. What does this point represent for the line?

   • A. The x-intercept
   • B. The y-intercept
   • C. The origin
   • D. A point not on an axis

7. 7. A line has a y-intercept at $y = -4$. The x-coordinate of this point must be ___.

8. 8. A straight line has a y-intercept at $y = 8$. What are the coordinates of this point?

   • A. $(8, 0)$
   • B. $(0, 8)$
   • C. $(8, 8)$
   • D. $(0, 0)$

9. 9. A line crosses the x-axis at the point $(-11, 0)$. The y-coordinate of the x-intercept is ___.

10. 10. Which statement is always true for the x-intercept of any non-horizontal line?

    • A. The x-coordinate is zero.
    • B. The y-coordinate is zero.
    • C. Both coordinates are zero.
    • D. The y-coordinate is positive.