Question

Problem: Four students tried to write 12x + 3y=9 in equivalent y= mx + b form.

Question: Did each student get an equation that is equivalent to the original Ax + By=C form?
If so, explain the reasoning for each step. If not, tell what errors the students made.

Answer 1

If they got y = -4x + 3 it is equivalent to the original.

Explanation:

Common errors include leaving the y with a coefficient, forgetting to simplify all the terms or getting the slope wrong by using the opposite sign.

(If there are specific results included with the question, you could include them in the comments.)

Answer 2

if you convert it to y=mx+b then you would have to subtract 12x from each side to make it 3y= -12x + 9 which if u divide by 3 is y=-4x + 3