Question

what is the slope of this line? a coordinate grid with a line is shown, with y - axis labeled from - 32 to 32 and x - axis labeled from - 32 to 32. the line passes through (0, - 8) and (16, 0) (and other points on the grid).

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, -8)\) and \((16, 0)\).

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 \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Substituting \(x_1 = 0\), \(y_1=-8\), \(x_2 = 16\) and \(y_2 = 0\) into the formula, we get:
\(m=\frac{0-(-8)}{16 - 0}=\frac{8}{16}\)

Step3: Simplify the fraction

Simplifying \(\frac{8}{16}\), we divide both the numerator and the denominator by 8, so \(\frac{8\div8}{16\div8}=\frac{1}{2}\)

Answer:

\(\frac{1}{2}\)