Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((-3, 0)\) and \((0, -4)\) (we can also use other points, but these are clear).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(-3, 0)\) and \((x_2,y_2)=(0, -4)\).
Substitute the values into the formula: \(m=\frac{-4 - 0}{0 - (-3)}=\frac{-4}{3}\)

Answer:

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