Question

1. find the slope that passes through the points (2,4) and(6, -8) type a response

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 coordinates

Here, \( x_1 = 2 \), \( y_1 = 4 \), \( x_2 = 6 \), \( y_2 = -8 \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{-8 - 4}{6 - 2} \).

Step4: Simplify numerator and denominator

Simplify the numerator: \( -8 - 4=-12 \). Simplify the denominator: \( 6 - 2 = 4 \). So, \( m=\frac{-12}{4}=-3 \).

Answer:

-3