Question

what is the slope of this line? simplify your answer and write it as a proper fraction, improper fraction, or integer.

Explanation:

Step1: Recall slope formula

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

Step2: Identify the two points

The two points on the line are \((-2, 1)\) and \((2, 7)\). Let \((x_1, y_1)=(-2, 1)\) and \((x_2, y_2)=(2, 7)\).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{7 - 1}{2 - (-2)} \).

Step4: Simplify the expression

Simplify the numerator and denominator: \( 7 - 1 = 6 \) and \( 2 - (-2)=2 + 2 = 4 \). So \( m=\frac{6}{4}=\frac{3}{2} \).

Answer:

\(\frac{3}{2}\)