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,
\[3x+2y=4\]
To obtain the equation in the form of \[y=mx+b\] subtract\[-3x\] from both sides of equation as,
\[2y=-3x+4\]
Then, divide both side of equation by \[2\] as,
\[y=-\frac{3}{2}x+2\]
Hence, the equation in slope-intercept is,\[y=-\frac{3}{2}x+2\].
(b)
Consider the given equation, \[3x+2y=4\].
The slope intercept form of the provided equation is,
\[y=-\frac{3}{2}x+2\]
Compare it with \[y=mx+b\] gives,
\[m=-\frac{3}{2}\]and\[b=2\]
Hence, the slope of the equation is,\[-\frac{3}{2}\]and the\[y\]-intercept is,\[2\].
