Answer
a)
The $x$-intercept is $5$.
The $y$-intercept is $-2$.
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.
$0.2x-0.5y=1$
$0.2x-0.5(0)=1$
$0.2x=1$
$x=5$
The $x$-intercept is $5$ and the point $(5,0)$ is on the line.
In order to find the $y$-intercept, let $x=0$ and we have to solve the equation.
$0.2x-0.5y=1$
$0.2(0)-0.5y=1$
$-0.5y=1$
$y=-2$
The $y$-intercept is $-2$ and the point $(0,-2)$ is on the line.
b) In order to sketch the line, we only have to plot the intercepts then connect them using a line.
