Question 243736


<h4>x-intercept</h4>

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



{{{-36x-4y=36}}} Start with the given equation.



{{{-36x-4(0)=36}}} Plug in {{{y=0}}}.



{{{-36x-0=36}}} Multiply {{{-4}}} and 0 to get 0.



{{{-36x=36}}} Simplify.



{{{x=(36)/(-36)}}} Divide both sides by {{{-36}}} to isolate {{{x}}}.



{{{x=-1}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(-1,0\right)].



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<h4>y-intercept</h4>

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



{{{-36x-4y=36}}} Start with the given equation.



{{{-36(0)-4y=36}}} Plug in {{{x=0}}}.



{{{-0-4y=36}}} Multiply {{{-36}}} and 0 to get 0.



{{{-4y=36}}} Simplify.



{{{y=(36)/(-4)}}} Divide both sides by {{{-4}}} to isolate {{{y}}}.



{{{y=-9}}} Reduce.



So the y-intercept is *[Tex \LARGE \left(0,-9\right)].



Now plot the points (-1,0) and (0,-9)



{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,0),
 circle(-1,0,0.08),circle(-1,0,0.10),circle(-1,0,0.12),circle(-1,0,0.15),circle(-1,0,0.18),
circle(0,-9,0.08),circle(0,-9,0.10),circle(0,-9,0.12),circle(0,-9,0.15),circle(0,-9,0.18)

)}}}



Now draw a straight line through the two points to graph {{{-36x-4y=36}}}



{{{ drawing(500, 500, -10, 10, -10, 10,
 graph( 500, 500, -10, 10, -10, 10,(36+36x)/(-4)),
 circle(-1,0,0.08),circle(-1,0,0.10),circle(-1,0,0.12),circle(-1,0,0.15),circle(-1,0,0.18),
circle(0,-9,0.08),circle(0,-9,0.10),circle(0,-9,0.12),circle(0,-9,0.15),circle(0,-9,0.18)

)}}}


Graph of {{{-36x-4y=36}}} through the points (-1,0) and (0,-9)