Question

A system of equations is graphed on the coordinate plane.

y=1/2x+4
y=1/2x+3

No solution
One solution
Infinitely many solutions

Answer 1

y=1/2x+4 and y=1/2x+3 are parellel because the slope (m, or in this case 1/2) does not change, and they have different y-intercepts (b). Parellel lines can never intersect and therefore have no solution.

No solution