Question

1. a) -1 b) -4 c) 4 d) 1 14) a) 3/2 b) -3/2 c) 2/3 d) -2/3

Explanation:

Step1: Recall slope - formula

The slope formula for a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

For question 12:

Step2: Identify two points on the line

Let's assume two points on the line in question 12 are $(0, 4)$ and $(4,0)$.

Step3: Calculate the slope

$m=\frac{0 - 4}{4 - 0}=\frac{-4}{4}=-1$.

For question 14:

Step4: Identify two points on the line

Let's assume two points on the line in question 14 are $(- 3,0)$ and $(0,2)$.

Step5: Calculate the slope

$m=\frac{2 - 0}{0-(-3)}=\frac{2}{3}$.

Answer:

1. A. -1
2. C. $\frac{2}{3}$