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 the slope formula

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(-8,-2)\) and \((x_2,y_2)=(7,-2)\).

Step2: Substitute the values into the formula

Substitute \(x_1=-8,y_1 = - 2,x_2=7,y_2=-2\) into \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Then \(m=\frac{-2-(-2)}{7-(-8)}\).

Step3: Simplify the numerator and denominator

Simplify the numerator: \(-2-(-2)=-2 + 2=0\). Simplify the denominator: \(7-(-8)=7 + 8 = 15\). So \(m=\frac{0}{15}\).

Answer:

\(0\)