Question

Find the y-intercept for -3x – 2y = 12

Answer 1

put x = 0 and solve

Answer 2

\[-2y=12\]
\[y=\frac{12}{-2}=-6\]

Answer 3

This is a concept which requires deductive reasoning. Both answers above are correct. I am going to take it from a different angle just in case you want some more clarification. The y-intercept is the place where the line crosses the y-axis, therefore, it is the place in which x = 0.
So if we set x = 0, then we have:
-3(0)-2y=12
0 - 2y = 12
y = 12/-2
y = -6
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Answer 4

-6