Answer
a)
The $x$-intercept is $-4$.
The $y$-intercept is $3$.
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.
$-0.3x+0.4y=1.2$
$-0.3x+0.4(0)=1.2$
$-0.3x=1.2$
$x=-4$
The $x$-intercept is $-4$ and the point $(-4,0)$ is on the line.
In order to find the $y$-intercept, let $x=0$ and we have to solve the equation.
$-0.3+0.4y=1.2$
$-0.3(0)+0.4y=1.2$
$0.4y=1.2$
$y=3$
The $y$-intercept is $3$ and the point $(0,3)$ is on the line.
b) In order to sketch the line, we only have to plot the intercepts then connect them using a line.
