Question

what is the slope of this line? the coordinate grid has a blue horizontal line passing through (-2, 1) and (3, 1).

Explanation:

Step1: Recall 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 points

Here, \((x_1, y_1)=(-2, 1)\) and \((x_2, y_2)=(3, 1)\).

Step3: Substitute into formula

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

Answer:

The slope of the line is \( 0 \).