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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

Verified Answer :

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

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