Question

I NEED HELP PLEASE!

Which equation represents a line perpendicular to the line shown on the graph?

On a coordinate plane, a line goes through (0, 8) and (2, 0).
y = 4 x minus 1
y = negative 4 x + three-fifths
y = one-fourth x + 5
y = negative one-fourth x minus 1

Answer 1

9514 1404 393

Answer:

y = 1/4x + 5

Explanation:

The given line has a "rise" of -8 for a "run" of 2, so a slope of ...

m = rise/run = -8/2 = -4

The perpendicular line will have a slope that is the opposite of the reciprocal of this slope. Its slope will be ...

-1/m = -1/(-4) = 1/4

The equation you're looking for will have an x-coefficient of 1/4. The suitable choice is ...

y = 1/4x + 5 . . . . the third choice