Question

homework: slope review
name
directions: find the slope of the line show on the graph.
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Explanation:

Step1: Recall slope formula

The slope formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $m=\frac{y_2 - y_1}{x_2 - x_1}$.

Step2: Identify two - points on the line

For each graph, find two distinct points on the line with integer - valued coordinates.

Step3: Calculate the slope

Substitute the coordinates of the two points into the slope formula.

Since we don't have specific points labeled for each graph in the provided text, let's assume for a general line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ on a graph:
If we have two points $(x_1,y_1)$ and $(x_2,y_2)$ on a line, say $(x_1,y_1)=(a,b)$ and $(x_2,y_2)=(c,d)$
The slope $m = \frac{d - b}{c - a}$

For example, if a line passes through $(1,1)$ and $(3,3)$:
$m=\frac{3 - 1}{3 - 1}=\frac{2}{2}=1$

If a line passes through $(1,3)$ and $(3,1)$:
$m=\frac{1 - 3}{3 - 1}=\frac{-2}{2}=-1$

Answer:

The slope values will vary depending on the two points chosen on each individual line in the graphs. For a non - vertical line passing through points $(x_1,y_1)$ and $(x_2,y_2)$, the slope is $m=\frac{y_2 - y_1}{x_2 - x_1}$. For a vertical line, the slope is undefined. For a horizontal line, the slope is 0.