Question

1. what is the slope of the graphed line?

(there is a coordinate grid with a line graphed, passing through points, and then m = with a blank and a sqrt{x} which might be a typo or irrelevant here)

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, 3)\) (the y - intercept) and \((5, 1)\).

Step2: Use the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1,y_1)=(0,3)\) and \((x_2,y_2)=(5,1)\).
Substitute the values into the formula: \(m=\frac{1 - 3}{5 - 0}=\frac{-2}{5}=-\frac{2}{5}\)

Answer:

\(-\frac{2}{5}\)