Lesson 6: Writing Equations in Slope-Intercept Form — Practice Questions

1. 1. A line crosses the y-axis at $(0, 2)$ and passes through the point $(5, 12)$. What is the slope, $m$, of the line? The slope is ___.

2. 2. A line has a y-intercept at $(0, 1)$ and passes through the point $(6, 4)$. Which equation represents this line in slope-intercept form?

   • A. $y = 2x + 1$
   • B. $y = \frac{1}{2}x + 1$
   • C. $y = \frac{1}{2}x + 6$
   • D. $y = x + \frac{1}{2}$

3. 3. The graph of a linear equation crosses the y-axis at the point $(0, -4)$. The y-intercept, $b$, of this equation is ___.

4. 4. A line passes through the points $(0, 6)$ and $(2, 0)$. What is the equation of the line?

   • A. $y = 3x + 6$
   • B. $y = -3x + 2$
   • C. $y = -3x + 6$
   • D. $y = -\frac{1}{3}x + 6$

5. 5. A line has a y-intercept at $(0, -5)$ and passes through $(2, -1)$. For the equation $y = mx + b$ representing this line, the value of $m$ is ___.

6. 6. Which equation represents a line with a slope of 2 and a y-intercept of $(0, -9)$?

   • A. y = 2x + 9
   • B. y = -9x + 2
   • C. y = 2x - 9
   • D. y = 9x - 2

7. 7. A line has a slope of $-3$ and a y-intercept of $(0, 5)$. Write the equation of the line in slope-intercept form. $y = $ ___

8. 8. What is the equation of a line with a slope of $\frac{1}{4}$ and a y-intercept of $(0, 6)$?

   • A. $y = 6x + \frac{1}{4}$
   • B. $y = \frac{1}{4}x + 6$
   • C. y = 4x + 6
   • D. $y = \frac{1}{4}x - 6$

9. 9. Find the equation of a line that has a slope of 7 and passes through the origin $(0, 0)$. $y = $ ___

10. 10. A line has a slope of $-1$ and a y-intercept of $(0, -3)$. What is the equation of this line?

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