Answer
See below:
Work Step by Step
(a)
Slope–intercept form is \[y=mx+b\], where \[m\] is the slope and \[b\]is the \[y\]-intercept.
Consider the provided equation:
\[3y=5x\]
To obtain the equation in the form of \[y=mx+b\],divide both sides of the equation by 3 as follows:
\[y=\frac{5}{3}x\]
Hence, the equation in slope–intercepts\[y=\frac{5}{3}x\].
(b)
Consider the given equation \[3y=5x\].
The slope–intercept form of the provided equation is
\[y=\frac{5}{3}x\]
Compare it with \[y=mx+b\],which gives
\[m=\frac{5}{3}\]and\[b=0\]
Hence, the slope of the equation is \[\frac{5}{3}\]and the\[y\]-intercept is\[0\].
