Question 359893


<h4>x-intercept</h4>

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



{{{3x-5y=-45}}} Start with the given equation.



{{{3x-5(0)=-45}}} Plug in {{{y=0}}}.



{{{3x-0=-45}}} Multiply {{{-5}}} and 0 to get 0.



{{{3x=-45}}} Simplify.



{{{x=(-45)/(3)}}} Divide both sides by {{{3}}} to isolate {{{x}}}.



{{{x=-15}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(-15,0\right)].



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



<h4>y-intercept</h4>

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



{{{3x-5y=-45}}} Start with the given equation.



{{{3(0)-5y=-45}}} Plug in {{{x=0}}}.



{{{0-5y=-45}}} Multiply {{{3}}} and 0 to get 0.



{{{-5y=-45}}} Simplify.



{{{y=(-45)/(-5)}}} Divide both sides by {{{-5}}} to isolate {{{y}}}.



{{{y=9}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,9\right)].



If you need more help, email me at <a href="mailto:jim_thompson5910@hotmail.com?Subject=Algebra%20Help">jim_thompson5910@hotmail.com</a>


Also, feel free to check out my <a href="http://www.freewebs.com/jimthompson5910/home.html">tutoring website</a>


Jim