Question

fill in the blanks below.
(a) find the slope of the line passing through the points (5, -5) and (-5, -5).
slope:
(b) find the slope of the line passing through the points (-6, 4) and (9, 4).
slope:

Explanation:

Part (a)

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 coordinates

For points \((5, - 5)\) and \((-5, - 5)\), \(x_1 = 5,y_1=-5,x_2=-5,y_2 = - 5\).

Step3: Substitute into formula

\(m=\frac{-5-(-5)}{-5 - 5}=\frac{-5 + 5}{-10}=\frac{0}{-10}=0\).

Part (b)

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 coordinates

For points \((-6,4)\) and \((9,4)\), \(x_1=-6,y_1 = 4,x_2=9,y_2=4\).

Step3: Substitute into formula

\(m=\frac{4 - 4}{9-(-6)}=\frac{0}{15}=0\).

Answer:

(a) slope: \(0\)
(b) slope: \(0\)