Question

fill in the blanks below.
(a) find the slope of the line passing through the points (-3, 4) and (3, 4).
slope:

(b) find the slope of the line passing through the points (8, -3) and (-7, -3).
slope:

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: Solve part (a)

For points \((-3, 4)\) and \((3, 4)\), let \( x_1=-3, y_1 = 4, x_2=3, y_2 = 4 \).
Substitute into slope formula: \( m=\frac{4 - 4}{3-(-3)}=\frac{0}{6}=0 \).

Step3: Solve part (b)

For points \((8, -3)\) and \((-7, -3)\), let \( x_1 = 8, y_1=-3, x_2=-7, y_2=-3 \).
Substitute into slope formula: \( m=\frac{-3-(-3)}{-7 - 8}=\frac{0}{-15}=0 \).

Answer:

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