Question 316045


<h4>x-intercept</h4>

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



{{{10x - 18y = 3}}} Start with the given equation.



{{{10x - 18(0) = 3}}} Plug in {{{y=0}}}.



{{{10x - 0 = 3}}} Multiply {{{18}}} and 0 to get 0.



{{{10x - 0 = 3}}} Simplify.



{{{10x=3+0}}} Add {{{0}}} to both sides.



{{{10x=3}}} Combine like terms on the right side.



{{{x=(3)/(10)}}} Divide both sides by {{{10}}} to isolate {{{x}}}.



So the x-intercept is *[Tex \LARGE \left(\frac{3}{10},0\right)].



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



<h4>y-intercept</h4>

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



{{{10x - 18y = 3}}} Start with the given equation.



{{{10(0) - 18y = 3}}} Plug in {{{x=0}}}.



{{{0 - 18y = 3}}} Multiply {{{10}}} and 0 to get 0.



{{{ - 18y = 3}}} Simplify.



{{{y=(3)/(-18)}}} Divide both sides by {{{-18}}} to isolate {{{y}}}.



{{{y=-1/6}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,-\frac{1}{6}\right)].