Question 172422
<h4>x-intercept</h4>

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



{{{-3x+5y=-2}}} Start with the given equation.



{{{-3x+5(0)=-2}}} Plug in {{{y=0}}}.



{{{-3x+0=-2}}} Multiply {{{5}}} and 0 to get 0.



{{{-3x=-2}}} Simplify.



{{{x=(-2)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{x}}}.



{{{x=2/3}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(\frac{2}{3},0\right)].