Question

directions: find the slope of each line.

Explanation:

Step1: Recall slope formula

The slope $m$ of a line is given by $m=\frac{\text{rise}}{\text{run}}$, where rise is the vertical change and run is the horizontal change between two points on the line.

Step2: Analyze first - line (number 1)

For the first line, the vertical change (rise) between two points is 6 units and the horizontal change (run) is 5 units. So $m = \frac{6}{5}$.

Step3: Analyze second - line (number 2)

For the second line, the rise is 4 units and the run is 4 units. So $m=\frac{4}{4}=1$.

Step4: Analyze fourth - line (number 4)

For the fourth line, the rise is - 4 (going downwards) and the run is 8. So $m=\frac{-4}{8}=-\frac{1}{2}$.

Step5: Analyze fifth - line (number 5)

Pick two points on the fifth line. The rise is 4 and the run is 2. So $m = \frac{4}{2}=2$.

Step6: Analyze seventh - line (number 7)

Pick two points. The rise is 3 and the run is 2. So $m=\frac{3}{2}$.

Step7: Analyze eighth - line (number 8)

The rise is - 3 (going downwards) and the run is 2. So $m=-\frac{3}{2}$.

Answer:

1. $m=\frac{6}{5}$
2. $m = 1$
3. $m=-\frac{1}{2}$
4. $m = 2$
5. $m=\frac{3}{2}$
6. $m=-\frac{3}{2}$