Question

HURRY I HAVE 8 MINUTES LEFT!

The graph for the equation y = x minus 4 is shown below.

On a coordinate plane, a line goes through (0, negative 4) and (4, 0).

Which equation, when graphed with the given equation, will form a system that has an infinite number of solutions?

O- y - x = -4
O- y - x = -2
O- y - 4 = x
O- y + 4x = 1

Answer 1

Answer: A: y-x = -4

Explanation:

To have an infinite number of solutions, two linear equations must be on top of each other, (so they intersect at every point). What this question is really asking is the equation for the plotted line!

This is simple enough:

two points are given, so lets fine the slope:

Slope = (y2-y1)/(x2-x1) = (-4 -0)/(0-4) = -4/-4 = 1

the slope is 1:

putting this into slope intercept form, we have y = x + b.

since b is the y intercept, and that is already given as -4, our completed equation is:

y = x - 4

which can be rewritten as y - x = -4

So your answer is the first option.