Question

please help: What is the equation of a line parallel to -5x + y= 2 that passes through the point with coordinates (-2, 1)?

Answer 1

• y = 5x + 11 or -5x + y = 11

Explanation:

Given line:

• -5x + y = 2

In slope-intercept form:

• y = 5x + 2

The parallel line has the same slope and will look as:

• y = 5x + b

This line passes through the point (-2, 1), substitute:

• 1 = 5*(-2) + b
• b = 1 + 10
• b = 11

So the line is:

• y = 5x + 11

or

• -5x + y = 11