Answer
graph of $3x+5y=12$:
Work Step by Step
The $x-$intercept is the value of $x$ when $y=0.$ Setting $y=0,$ the $x$-intercept of the given equation, $
3x+5y=12
,$ is
\begin{align*}
3x+5(0)&=12
\\
3x&=12
\\\\
\dfrac{3x}{3}&=\dfrac{12}{3}
\\\\
x&=4
.\end{align*}
The $x$-intercept is $
(4,0)
$.
The $y-$intercept is the value of $y$ when $x=0.$ Setting $x=0,$ the $y$-intercept of the given equation is
\begin{align*}
3(0)+5y&=12
\\
5y&=12
\\\\
\dfrac{5y}{5}&=\dfrac{12}{5}
\\\\
y&=\dfrac{12}{5}
\\\\
y&=2.4
.\end{align*}
The $y$-intercept is $
(0,2.4)
$.
By connecting the intercepts, the graph of the given equation is determined.