Question

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

Answer 1

y-intercept is (0,-10) and x-intercept is (-6,0). Connect them by a straight line to graph the given equation.

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.