Question 243565
<h4>x-intercept</h4>

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



{{{4x+5y=20}}} Start with the given equation.



{{{4x+5(0)=20}}} Plug in {{{y=0}}}.



{{{4x+0=20}}} Multiply {{{5}}} and 0 to get 0.



{{{4x=20}}} Simplify.



{{{x=(20)/(4)}}} Divide both sides by {{{4}}} to isolate {{{x}}}.



{{{x=5}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(5,0\right)].



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<h4>y-intercept</h4>

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



{{{4x+5y=20}}} Start with the given equation.



{{{4(0)+5y=20}}} Plug in {{{x=0}}}.



{{{0+5y=20}}} Multiply {{{4}}} and 0 to get 0.



{{{5y=20}}} Simplify.



{{{y=(20)/(5)}}} Divide both sides by {{{5}}} to isolate {{{y}}}.



{{{y=4}}} Reduce.



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



Now plot the x and y intercepts. In other words, plot the points *[Tex \LARGE \left(5,0\right)] and *[Tex \LARGE \left(0,4\right)]


{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,0),
 circle(0,4,0.08),circle(0,4,0.10),circle(0,4,0.12),circle(0,4,0.15),circle(0,4,0.18),
circle(5,0,0.08),circle(5,0,0.10),circle(5,0,0.12),circle(5,0,0.15),circle(5,0,0.18)

)}}}



Now draw a straight line through those points to graph {{{4x+5y=20}}}:


{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,(20-4x)/5),
 circle(0,4,0.08),circle(0,4,0.10),circle(0,4,0.12),circle(0,4,0.15),circle(0,4,0.18),
circle(5,0,0.08),circle(5,0,0.10),circle(5,0,0.12),circle(5,0,0.15),circle(5,0,0.18)

)}}}


Graph of {{{4x+5y=20}}} through the points *[Tex \LARGE \left(5,0\right)] and *[Tex \LARGE \left(0,4\right)].