Question

find the slope of each line. 13) 14) 15) 16)

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 $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: For problem 13

Pick two points on the line, say $(x_1,y_1)$ and $(x_2,y_2)$. Count the rise (change in y - values) and run (change in x - values). If the rise is 3 and the run is 4, then $m=\frac{3}{4}$.

Step3: For problem 14

Pick two points. The rise is 1 and the run is 1, so $m = 1=\frac{1}{1}$.

Step4: For problem 15

Pick two points. The rise is - 7 (going down) and the run is 3, so $m=-\frac{7}{3}$.

Step5: For problem 16

Pick two points. The rise is - 1 (going down) and the run is 3, so $m =-\frac{1}{3}$.

Answer:

1. $\frac{3}{4}$
2. $1$
3. $-\frac{7}{3}$
4. $-\frac{1}{3}$