Question

what is the slope of this line? (with a coordinate grid and a line plotted on it, y-axis from -48 to 48, x-axis from -48 to 48, the line passes through (0,18) and other points)

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, 18)\) (the y - intercept) and \((6, 36)\) (we can also choose other points, but these are easy to identify).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)=(0, 18)\) and \((x_2,y_2)=(6, 36)\).
Substitute the values into the formula: \(m=\frac{36 - 18}{6 - 0}=\frac{18}{6}\)

Step3: Simplify the fraction

\(\frac{18}{6}=3\)

Answer:

The slope of the line is \(3\)