Question

what is the slope of this line? the coordinate system has a grid, with points (-25, 10) and (0, 15) on the line.

Explanation:

Step1: Recall the slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the two points

From the graph, we have two points: \((-25, 10)\) and \((0, 15)\). Let \((x_1, y_1)=(-25, 10)\) and \((x_2, y_2)=(0, 15)\).

Step3: Substitute into the slope formula

Substitute the values into the formula: \( m=\frac{15 - 10}{0 - (-25)} \).

Step4: Simplify the expression

First, calculate the numerator: \( 15 - 10 = 5 \). Then, calculate the denominator: \( 0 - (-25)=0 + 25 = 25 \). So, \( m=\frac{5}{25}=\frac{1}{5} \).

Answer:

\(\frac{1}{5}\)