Answer
The provided statement is false. The true statement is “The line\[2y=3x+7\] is equivalent to\[y=\frac{3x}{2}+\frac{7}{2}\]” which has a \[y\]-intercept of\[\frac{7}{2}\].
Work Step by Step
Consider;
\[2y=3x+7\]
Divide by 2 on both sides of the equation
\[y=\frac{3x}{2}+\frac{7}{2}\]
On comparison it with \[y=mx+c\]
So, \[c=\frac{7}{2}\]and not 7.
Hence, the provided statement is false and to make it true, left side of the equation must be divided by 2.
