Calculate Slope of Linear Function: Points A(0,7) to B(8,-3)

To solve this problem, we'll follow these steps:

• Step 1: Identify the coordinates of the points.

• Step 2: Apply the slope formula.

• Step 3: Perform the arithmetic to calculate the slope.

Let's work through each step:

Step 1: Identify the given points:
Point $A$ is $(0, 7)$ and Point $B$ is $(8, -3)$.

Step 2: Use the slope formula, which is: $m = \frac{y_2 - y_1}{x_2 - x_1}$

Substituting the coordinates of points $A$ and $B$:
Here, $(x_1, y_1) = (0, 7)$ and $(x_2, y_2) = (8, -3)$.

Step 3: Calculate the slope:
$m = \frac{-3 - 7}{8 - 0} \\ = \frac{-10}{8} \\ = -\frac{5}{4}$

Therefore, the slope of the graph is $-\frac{5}{4}$.