Question

Find the slope-intercept form of the equation that passes through the given point and is parallel to the given line.

(2,-1) and y=2x+2

Answer 1

You have to plug in 2 for x and -1 for y. So your equation would look like -1=2(2)+2 and then you would distribute and solve

Answer 2

The answer to your question is y = 2x - 5

Explanation:

Data

Point (2, -1)

line: y = 2x + 2

Process

1.- Find the slope of the line parallel

- The slope is the coefficient of the of the x.

y = 2x + 2 the slope of the line is 2

2.- Find the equation of the new line

y - y1 = m(x - x1)

- Substitution

y + 1 = 2(x - 2)

- Simplification

y + 1 = 2x - 4

- Solve for y

y = 2x - 4 - 1

y = 2x - 5