Question 202119


<h4>x-intercept</h4>

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



{{{-3x + y = 12}}} Start with the given equation.



{{{-3x + 0 = 12}}} Plug in {{{y=0}}}.



{{{-3x= 12}}} Simplify.



{{{x=(12)/(-3)}}} Divide both sides by {{{-3}}} to isolate {{{x}}}.



{{{x=-4}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(-4,0\right)].



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<h4>y-intercept</h4>

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



{{{-3x + y = 12}}} Start with the given equation.



{{{-3(0) + y = 12}}} Plug in {{{x=0}}}.



{{{-0 + y = 12}}} Multiply {{{-3}}} and 0 to get 0.



{{{ y = 12}}} Simplify.



So the y-intercept is *[Tex \LARGE \left(0,12\right)].