Question

A line includes the points (9, -7) and (-6, -2). What is its equation in slope-intercept form?

Answer 1

Answer:

$y=\frac{-1}{3}x-4$

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Slope Formula: $m=\frac{y_2-y_1}{x_2-x_1}$

Step 1: Define

Point (9, -7)

Point (-6, -2)

Step 2: Find slope m

$m=\frac{-2-(-7)}{-6-9}$

$m=\frac{-2+7}{-15}$

$m=\frac{5}{-15}$

$m=\frac{-1}{3}$

$y=\frac{-1}{3}x+b$

Step 3: Find y-intercept b

$-7=\frac{-1}{3}(9)+b$

$-7=-3+b$

$-4=b$

Step 4: Write linear equation in slope-intercept form

$y=\frac{-1}{3}x-4$