Lesson 7: Writing Equations in Point-Slope Form — Practice Questions

1. 1. Rewrite the equation $y - 5 = 3(x - 2)$ in slope-intercept form. The equation is $y = $ ___.

2. 2. Which equation represents the slope-intercept form of $y - 1 = -4(x + 3)$?

   • A. $y = -4x - 11$
   • B. $y = -4x - 13$
   • C. $y = -4x + 2$
   • D. $y = -4x + 11$

3. 3. Convert the equation $y + 2 = \frac{1}{3}(x - 9)$ to slope-intercept form. The equation is $y = $ ___.

4. 4. What is the first algebraic step when converting the equation $y - 7 = 5(x + 2)$ to slope-intercept form?

   • A. Use the distributive property.
   • B. Add 7 to both sides.
   • C. Subtract 2 from both sides.
   • D. Divide both sides by 5.

5. 5. Rewrite the equation $y - 5 = -\frac{1}{4}(x + 8)$ in slope-intercept form. The equation is $y = $ ___.

6. 6. Write the equation of a line in point-slope form that has a slope of $4$ and passes through the point $(5, 8)$. Equation: ___

7. 7. Which equation represents a line with a slope of $-3$ that passes through the point $(-2, 7)$?

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

8. 8. A line has a slope of $\frac{2}{3}$ and passes through the point $(9, -1)$. Write the equation of the line in point-slope form. Equation: ___

9. 9. What are the slope and the point used to write the equation $y + 4 = 6(x - 2)$?

   • A. Slope: $6$, Point: $(2, 4)$
   • B. Slope: $6$, Point: $(-2, -4)$
   • C. Slope: $6$, Point: $(2, -4)$
   • D. Slope: $4$, Point: $(6, 2)$

10. 10. Write the equation of a line in point-slope form with a slope of $-8$ passing through the point $(-5, 1)$. Equation: ___