SOLUTION: Lines L an M have the same slope. The Equation of line L is 4y=x. Line M passes through (0,-5). What is the equation of line M?

Algebra ->  Linear-equations -> SOLUTION: Lines L an M have the same slope. The Equation of line L is 4y=x. Line M passes through (0,-5). What is the equation of line M?      Log On


   

Question 957154: Lines L an M have the same slope. The Equation of line L is 4y=x. Line M passes through (0,-5). What is the equation of line M?
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Line L is also y=x%2F4 and the slope is found by inspection to be 1%2F4.

The slope of line M is also 1%2F4 because L and M are PARALLEL.

Line M is some unknown line y=x%2F4%2Bb containing the point (0,-5). The point is obviously the vertical axis intercept.

highlight%28y=x%2F4-5%29, using slope-intercept form.