Question

What is the equation of a line that passes through the points, (-2, 2) and is parallel to a line with an equation of y = 2x + 5

Answer 1

y = 2x+6

Explanation:

y = 2x + 5

This line is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 2. Parallel lines have the same slope

y = 2x+b

Using the given point and substituting it into the equation

2 = 2(-2) +b

2 =-4+b

Add 4 to each side

2+4 = -4+b+4

6 = b

y = 2x+6