Question

How do I use intercepts to graph 3y= - 5x - 30

Answer 1

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

$3y=-5x-30$

For x=0,

$3y=-5(0)-30$

$3y=-30$

$y=-10$

So, y-intercept is at point (0,-10).

For y=0,

$3(0)=-5x-30$

$0=-5x-30$

$5x=-30$

$x=-6$

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.