Question

1. find the slope of each line
2. slope =
3. slope =
4. slope =
5. slope =
6. slope =
7. slope =
8. slope =

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Explanation:

Step1: Recall slope formula

The slope formula is $m=\frac{y_2 - y_1}{x_2 - x_1}$, where $(x_1,y_1)$ and $(x_2,y_2)$ are two points on the line.

Step2: Identify two points on each line

For each graph, pick two distinct points with integer - valued coordinates. For example, if a line passes through points $(x_1,y_1)=(0,0)$ and $(x_2,y_2)=(2,2)$, then $m=\frac{2 - 0}{2 - 0}=1$.

Step3: Calculate the slope

Substitute the $x$ and $y$ values of the two points into the slope formula. If the line is horizontal, $y_2=y_1$, so $m = 0$. If the line is vertical, $x_2=x_1$, and the slope is undefined.

Since we don't have specific calculations for each line shown in the image, we'll just show the general process. For a line passing through points $(x_1,y_1)$ and $(x_2,y_2)$:
Let's assume a line passes through $(1,1)$ and $(3,3)$.
$m=\frac{3 - 1}{3 - 1}=\frac{2}{2}=1$

For a horizontal line passing through $(1,2)$ and $(3,2)$:
$m=\frac{2 - 2}{3 - 1}=\frac{0}{2}=0$

For a vertical line passing through $(2,1)$ and $(2,3)$:
The slope is undefined because $x_2 - x_1=2 - 2 = 0$ and we cannot divide by zero.

Answer:

The slopes need to be calculated for each line separately using the two - point slope formula $m=\frac{y_2 - y_1}{x_2 - x_1}$ by identifying two points on each line. Without specific point - identification for each of the 8 lines in the image, we cannot give exact numerical answers. But the process to find the slope of a line given its graph is as described above.