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Lesson 1: Writing 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. Which of the following points lies on the line represented by the equation $y = -2x + 7$?

    • A. (1, 9)
    • B. (3, 1)
    • C. (4, -2)
    • D. (0, 6)
  7. 7. A point $(4, k)$ is on the line defined by the equation $y = 3x - 5$. What is the value of $k$? $k = $ ___

  8. 8. Does the point $(-2, 3)$ satisfy the linear equation $y = -4x - 5$?

    • A. Yes
    • B. No
  9. 9. A line is described by the equation $y = \frac{1}{3}x + 2$. If a point on this line has an x-coordinate of $9$, its y-coordinate is ___.

  10. 10. Which linear equation is NOT satisfied by the point $(2, -1)$?

    • A. $y = x - 3$
    • B. $y = -2x + 3$
    • C. $y = 3x - 7$
    • D. $y = -x + 2$