Question

Use slope-intercept form, y = mx + b to find the equation of the line that passes through the points (−6, 1) and (3, 4).

Answer 1

Answer:

y = one-third x + 3

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

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

Step 1: Find slope m

m = (4 - 1)/(3 + 6)

m = 3/9

m = 1/3

y = 1/3x + b

Step 2: Find b

4 = 1/3(3) + b

4 = 1 + b

b = 3

Step 3: Rewrite

y = 1/3x + 3

Answer 2

Answer:

y = one-third x + 3

Step-by-step explanation: