Question

What is the equation, in slope-intercept form, of the line parallel to y = 5x + 2 that passes through the point with coordinates (-2, 1)? Show your work on the scratchpad. y = C G City 2 E X​

Answer 1

y = 5x + 11

Explanation:

Step 1: When two lines are parallel, they have the same slope, as indicated by the following equation as m2 = m1, where

• m2 is the slope of the line you're trying to find,
• and m1 is the slope of the line you're given.

Thus, since the slope of line 1 is 5, the slope of line 2 is also 5.

Step 2: Now we can plug in (-2, 1) for x and y and 5 for m to solve for b, the y-intercept of the other line:

1 = 5(-2) + b

1 = -10 + b

11 = b

Thus, the equation of the line parallel to y = 5x + 2 and passing through (-2, 1) is y = 5x + 11