Question

Find an equation for the line with the given properties. Express the equation in slope-intercept form.

Slope = 3; containing the point (5,-4)
What is the equation of the line?
y =

Answer 1

y = 3x - 19

Explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define variables

Slope m = 3

Random point (5, -4)

Step 2: Plug in known variables

y = 3x + b

Step 3: Find b

-4 = 3(5) + b

-4 = 15 + b

b = -19

Step 4: Write linear equation

y = 3x - 19