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.

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

Step-by-step 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

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.