Question

(5,8), (-3,7) which formula do we use to find the the slope of the line that passes through each pair of points? $m = \frac{y_2 - y_1}{x_2 - x_1}$ $x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$ $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ $a = \pi r^2$

Explanation:

Step1: Recall slope formula

The slope \( m \) of a line through 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: Analyze other formulas

• The quadratic formula \( x=\frac{-b\pm\sqrt{b^2 - 4ac}}{2a} \) solves quadratic equations.
• The distance formula \( D=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2} \) finds distance between two points.
• The area formula \( A = \pi r^2 \) calculates circle area.

Answer:

\( m=\frac{y_2 - y_1}{x_2 - x_1} \) (the first formula with the slope formula)