Question

what is the slope of this line?
the coordinate grid shows a horizontal line passing through (-4, 2) and (-1, 2). the options are -3/2, 3/2, 0, undefined.

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

We have two points \((-4, 2)\) and \((-1, 2)\). Let \((x_1, y_1)=(-4, 2)\) and \((x_2, y_2)=(-1, 2)\).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{2 - 2}{-1 - (-4)} \).

Step4: Simplify numerator and denominator

The numerator \( 2 - 2 = 0 \), and the denominator \( -1 - (-4)=-1 + 4 = 3 \). So \( m=\frac{0}{3}=0 \).

Answer:

0