Question 122897
{{{-15*x+1*y=55}}} Start with the given equation


Let's find the x-intercept


To find the x-intercept, let y=0 and solve for x:

{{{-15*x+1*(0)=55}}} Plug in {{{y=0}}}


{{{-15*x=55}}} Simplify


{{{x=55/-15}}} Divide both sides by -15



{{{x=-11/3}}} Reduce




So the x-intercept is *[Tex \Large \left(-\frac{11}{3},0\right)] (note: the x-intercept will always have a y-coordinate equal to zero)




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{{{-15*x+1*y=55}}} Start with the given equation


Now let's find the y-intercept


To find the y-intercept, let x=0 and solve for y:

{{{-15*(0)+1*y=55}}} Plug in {{{x=0}}}


{{{-1*y=55}}} Simplify


{{{x=55/1}}} Divide both sides by 1




{{{y=55}}} Reduce




So the y-intercept is *[Tex \Large \left(0,55\right)] (note: the y-intercept will always have a x-coordinate equal to zero)


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So we have these intercepts:

x-intercept: *[Tex \Large \left(-\frac{11}{3},0\right)]


y-intercept: *[Tex \Large \left(0,55\right)]