Question

The graph for the equation y = 2 x + 4 is shown below. On a coordinate plane, a line goes through (negative 2, 0) and (0, 4). If another equation is graphed so that the system has one solution, which equation could that be? y = 2 x minus 4 y = 2 (x + 2) y = 2 (x minus 4) y = x + 4

Answer 1

D: Y= X+ 4

Explanation:

Got it right on edge

Answer 2

y = x + 4

Explanation:

The system will have one solution if the second equation has a slope that is different from the slope in the first equation.

The first equation is ...

y = 2x +4

It is of the form ...

y = mx + b

where m is the slope, and b is the y-intercept.

Any equation with the same slope (x-coefficient) will have a graph that is coincident with, or parallel to y = 2x+4. So, for the system to have exactly one solution, the slope must be different.

The offered equations all have an x-coefficient of 2, except the last one:

y = x +4 . . . . . x-coefficient is not 2.

This is the equation that will give one solution when graphed with the given equation.