Questions: Find the slope of the line graphed below.

Transcript text: Find the slope of the line graphed below.

Solution

Step 1: Identify two points on the line

We can choose the two points marked on the line: $(-5, -2)$ and $(-1, 4)$.

Step 2: Calculate the slope

The slope of a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ is given by the formula:

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

In our case, $(x_1, y_1) = (-5, -2)$ and $(x_2, y_2) = (-1, 4)$. Plugging these values into the formula, we get:

$m = \frac{4 - (-2)}{-1 - (-5)} = \frac{4 + 2}{-1 + 5} = \frac{6}{4} = \frac{3}{2}$

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