Question

find an equation for the line below.

Explanation:

Step1: Identify two points

Points: $(-6, 5)$ and $(6, 2)$

Step2: Calculate slope $m$

$m = \frac{2 - 5}{6 - (-6)} = \frac{-3}{12} = -\frac{1}{4}$

Step3: Use point-slope form

$y - 5 = -\frac{1}{4}(x + 6)$

Step4: Simplify to slope-intercept

$y = -\frac{1}{4}x - \frac{6}{4} + 5 = -\frac{1}{4}x + \frac{7}{2}$

Answer:

$y = -\frac{1}{4}x + \frac{7}{2}$