Question 549811


<h4>x-intercept</h4>

To find the x-intercept, plug in {{{y=0}}} and solve for x



{{{15x - 5y = 30}}} Start with the given equation.



{{{15x - 5(0) = 30}}} Plug in {{{y=0}}}.



{{{15x - 0 = 30}}} Multiply {{{5}}} and 0 to get 0.



{{{15x - 0 = 30}}} Simplify.



{{{15x=30+0}}} Add {{{0}}} to both sides.



{{{15x=30}}} Combine like terms on the right side.



{{{x=(30)/(15)}}} Divide both sides by {{{15}}} to isolate {{{x}}}.



{{{x=2}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(2,0\right)].



------------------------------------------



<h4>y-intercept</h4>

To find the y-intercept, plug in {{{x=0}}} and solve for y



{{{15x - 5y = 30}}} Start with the given equation.



{{{15(0) - 5y = 30}}} Plug in {{{x=0}}}.



{{{0 - 5y = 30}}} Multiply {{{15}}} and 0 to get 0.



{{{ - 5y = 30}}} Simplify.



{{{y=(30)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{y}}}.



{{{y=-6}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,-6\right)].