Question 131245


{{{-5*x+3*y=30}}} Start with the given equation


Let's find the x-intercept


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

{{{-5*x+3*(0)=30}}} Plug in {{{y=0}}}


{{{-5*x=30}}} Simplify


{{{x=30/-5}}} Divide both sides by -5



{{{x=-6}}} Reduce




So the x-intercept is *[Tex \Large \left(-6,0\right)] (note: the x-intercept will always have a y-coordinate equal to zero)




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{{{-5*x+3*y=30}}} Start with the given equation


Now let's find the y-intercept


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

{{{-5*(0)+3*y=30}}} Plug in {{{x=0}}}


{{{-3*y=30}}} Simplify


{{{x=30/3}}} Divide both sides by 3




{{{y=10}}} Reduce




So the y-intercept is *[Tex \Large \left(0,10\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(-6,0\right)]


y-intercept: *[Tex \Large \left(0,10\right)]