Question

What is the equation of the line parallel to y=1/2x+1 that contains the point (-2,1)

Answer 1

• y = 1/2x + 2

Explanation:

The line parallel to the given has the same slope:

• y = 1/2x + b

Use the given point to find the y-intercept:

• 1 = 1/2(-2) + b
• 1 = -1 + b
• b = 1 + 1
• b = 2

The line is:

• y = 1/2x + 2