Question

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what is the slope of the line?

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, -4)\) and \((3, 0)\).

Step2: Use the slope formula

The slope \(m\) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substituting \(x_1 = 0\), \(y_1=-4\), \(x_2 = 3\) and \(y_2 = 0\) into the formula, we get:
\(m=\frac{0 - (-4)}{3 - 0}=\frac{0 + 4}{3}=\frac{4}{3}\)

Answer:

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