Lesson 2: Writing Equations in Point-Slope Form — Practice Questions

1. 1. If a linear function `g` is defined such that `g(-3) = 8`, which point must lie on the graph of the function?

   • A. (8, -3)
   • B. (-3, 8)
   • C. (3, -8)
   • D. (-8, 3)

2. 2. Given a linear function `k` where `k(3) = -5` and `k(8) = -5`, what is the slope of the line representing the function?

   • A. 0
   • B. 1
   • C. 5
   • D. Undefined

3. 3. Without doing any calculations, give the slope of the line $y = \frac{3}{5}x - 7$.

   • A. $\frac{3}{5}$
   • B. $-7$
   • C. $\frac{5}{3}$
   • D. $7$

4. 4. Without doing any calculations, identify one point on the line given by the equation $y - 2 = 3(x + 5)$.

   • A. $(5, -2)$
   • B. $(-5, 2)$
   • C. $(2, 5)$
   • D. $(-2, -5)$

5. 5. Without doing any calculations, give the slope of the line $y = \frac{4}{5}x$.

   • A. $\frac{4}{5}$
   • B. $\frac{5}{4}$
   • C. $0$
   • D. $1$

6. 6. What is the slope of the line that passes through the points $(2, 5)$ and $(4, 11)$? The slope is ___.

7. 7. To find the equation of a line passing through $(1, 3)$ and $(5, 11)$, which formula would you use first to find the slope?

   • A. $y - y_1 = m(x - x_1)$
   • B. $y = mx + b$
   • C. $m = \frac{y_2 - y_1}{x_2 - x_1}$
   • D. $x = y$