Answer
a)
The $x$-intercept is $3.6$.
The $y$-intercept is $6$.
b) See the graph below.
Work Step by Step
a)
In order to find the $x$-intercept, let $y=0$ and we have to solve the equation.
$5x+3y=18$
$5x+3(0)=18$
$5x=18$
$x=3.6$
The $x$-intercept is $3.6$ and the point $(3.6,0)$ is on the line.
In order to find the $y$-intercept, let $x=0$ and we have to solve the equation.
$5x+3y=18$
$5(0)+3y=18$
$3y=18$
$y=6$
The $y$-intercept is $6$ and the point $(0,6)$ is on the line.
b) In order to sketch the line, we only have to plot the intercepts and connect them using a line.
