Question

question 4 4-2/4-3 cw rate of change / slope-intercept form incorrect 2 tries left. please try again. find the slope of the line that passes through the pair of points. write in the simplest form. (-1, -4), (3, -5)

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 coordinates

Let \((x_1, y_1)=(-1, -4)\) and \((x_2, y_2)=(3, -5)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{-5 - (-4)}{3 - (-1)} \).
Simplify numerator: \(-5 - (-4)=-5 + 4=-1\).
Simplify denominator: \(3 - (-1)=3 + 1 = 4\).
So \( m=\frac{-1}{4}=-\frac{1}{4} \).

Answer:

\(-\frac{1}{4}\)