Answer:
y-intercept is (0,-10) and x-intercept is (-6,0). Connect them by a straight line to graph the given equation.
Step-by-step explanation:
The given equation of line is
[tex]3y=-5x-30[/tex]
For x=0,
[tex]3y=-5(0)-30[/tex]
[tex]3y=-30[/tex]
[tex]y=-10[/tex]
So, y-intercept is at point (0,-10).
For y=0,
[tex]3(0)=-5x-30[/tex]
[tex]0=-5x-30[/tex]
[tex]5x=-30[/tex]
[tex]x=-6[/tex]
So, x-intercept is at point (-6,0).
Now, plot the point (0,-10) and (-6,0) on a coordinate plane and connect them by a straight line to graph the given line as shown below.