Question

What is the equation of the line that passes through the point (-2,2) and has a slope of 5?

Answer 1

y = 5x + 12

Step-by-step:

I will write the equation in the slope-intercept form: y = mx + b

y = y-coordinate

m= slope

x = x-coordinate

b = y-intercept

Part 1: Substitute the known values into the equation

1. Substitute:

2 = (5)(-2) + b

2. Simplify:

2 = -10 + b

Part 2: Solve for b

1. Get b by itself on one side:

2 + 10 = -10 + b + 10:

2 + 10 = b

2. Simplify:

12 = b

Part 3: Write the final equation for the line

y = 5x + 12