Question

Line K has the equation y=5x-4.

Line L is parallel to line K, but passes through the point (-2,-7).
The equation for L in slope-intercept form is: ______

Answer 1

Answer: y = 5x+3

Step-by-step explanation:

Parallel lines always have equal slopes, but different y intercepts.

Line K has a slope of 5, which means line L also has this slope too. Refer to the y = mx+b form.

Plug in the coordinates of (-2,-7) as well as the slope mentioned and solve for b.

y = mx+b

-7 = 5(-2) + b

-7 = -10+b

-7+10 = b

3 = b

b = 3

The y = mx+b updates to the final answer of y = 5x+3