Question

Find the values of m and b that will create a system of equations with no solution. Check all that apply.

y = mx + b

A.) y = –2x + 3/2
B.) m = –3 and b = -2/3
C.) m = –2 and b = -1/3
D.) m = 2 and b = -2/3
E.) m = –3/2 and b = -2/3
F.) m = –2 and b = -2/3
G.) m = 3 and b = -2/3

Answer 1

y = mx + b ; where m is the slope and b is the y-intercept.

A) y = -2x + 3/2 ; The slope is -2

For the system of equation to have no solution, they must form parallel lines. Parallel lines have the same slope. They don't intersect, thus, there is no solution.

C.) m = –2 and b = -1/3
F.) m = –2 and b = -2/3