Question

what is the slope of this line? (graph with points (-4, 0) and (0, -3))

Explanation:

Step1: Recall the slope formula

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

Step2: Identify the two points

From the graph, we have two points: \( (-4, 0) \) and \( (0, -3) \). Let \( (x_1, y_1)=(-4, 0) \) and \( (x_2, y_2)=(0, -3) \).

Step3: Substitute into the slope formula

Substitute the values into the formula: \( m=\frac{-3 - 0}{0 - (-4)}=\frac{-3}{4} \).

Answer:

\(-\frac{3}{4}\)