<PRE><B>Question 182087</B>

&lt;h4&gt;x-intercept&lt;/h4&gt;

To find the x-intercept, plug in {{{y=0}}} and solve for x



{{{x+4y=8}}} Start with the given equation.



{{{x+4(0)=8}}} Plug in {{{y=0}}}.



{{{x+0=8}}} Multiply {{{4}}} and 0 to get 0.



{{{x=8}}} Simplify.



So the x-intercept is *[Tex \LARGE \left(8,0\right)].



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&lt;h4&gt;y-intercept&lt;/h4&gt;

To find the y-intercept, plug in {{{x=0}}} and solve for y



{{{x+4y=8}}} Start with the given equation.



{{{0+4y=8}}} Plug in {{{x=0}}}.



{{{4y=8}}} Simplify.



{{{y=(8)/(4)}}} Divide both sides by {{{4}}} to isolate {{{y}}}.



{{{y=2}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,2\right)].



Notice that if we graph the equation {{{x+4y=8}}}, we can see that the graph has the x-intercept *[Tex \LARGE \left(8,0\right)] and the y-intercept *[Tex \LARGE \left(0,2\right)]



{{{ drawing(500, 500, -10, 10, -10, 10,
grid(0),
graph(500, 500, -10, 10, -10, 10,(8-x)/(4))
)}}} Graph of {{{x+4y=8}}}
</PRE>