Question 702093


<h4>x-intercept</h4>

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



{{{x-2y=-10}}} Start with the given equation.



{{{x-2(0)=-10}}} Plug in {{{y=0}}}.



{{{x-0=-10}}} Multiply {{{-2}}} and 0 to get 0.



{{{x=-10}}} Simplify.



So the x-intercept is *[Tex \LARGE \left(-10,0\right)].



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<h4>y-intercept</h4>

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



{{{x-2y=-10}}} Start with the given equation.



{{{0-2y=-10}}} Plug in {{{x=0}}}.



{{{-2y=-10}}} Simplify.



{{{y=(-10)/(-2)}}} Divide both sides by {{{-2}}} to isolate {{{y}}}.



{{{y=5}}} Reduce.



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



Now let's plot the points *[Tex \LARGE \left(-10,0\right)] and *[Tex \LARGE \left(0,5\right)] which are the x and y intercepts respectively.



{{{drawing(500, 500, -15,5,-10,10,
grid(0),
graph(500, 500, -15,5,-10,10,0)
circle(-10,0,0.03),circle(-10,0,0.05),circle(-10,0,0.08),circle(-10,0,0.10),circle(-10,0,0.12),
circle(0,5,0.03),circle(0,5,0.05),circle(0,5,0.08),circle(0,5,0.10),circle(0,5,0.12)
)}}}



Now draw a straight line through the plotted points to graph {{{x-2y=-10}}}.



{{{ drawing(500, 500, -15,5,-10,10,
grid(0),
graph(500, 500, -15,5,-10,10,(-10-x)/(-2)),
circle(-10,0,0.03),circle(-10,0,0.05),circle(-10,0,0.08),circle(-10,0,0.10),circle(-10,0,0.12),
circle(0,5,0.03),circle(0,5,0.05),circle(0,5,0.08),circle(0,5,0.10),circle(0,5,0.12)
)}}} Graph of {{{x-2y=-10}}}