Question

Question 6 of 25

The system of equations graphed below has how many solutions?
y=
--x+5
y=-x-3

A. 2
B. 1
C. Infinitely many
D. 0

Answer 1

D

Explanation:

In the equation y = mx+b, m, or the slope, is what is multiplied by x. In both of the equations shown, m .= (-3/2). Two equations with the same slope mean that the lines are parallel. If the lines are the same, they completely overlap and have an infinite amount of solutions. If not (and they don't overlap in the picture given), the two lines are forever parallel and never cross, rendering the number of solutions to be 0