Question

Write an equation of the line that passes through (−5, −1) and is parallel to the line y = 4x − 6.

Answer 1

The equation is y = 4x + 19

Explanation:

y = 4x - 6 Using y = mx + b, the slope = 4.

Parallel lines have the same slope.

Now substitute the slope = 4 and the given ordered pair (-5, -1) into the slope-intercept form and solve for b.

y = mx + b

-1 = 4(-5) + b

-1 = -20 + b

19 = b

Now substitute into y = mx + b m = 4 and b = 19

The equation is y = 4x + 19