Question 150671

{{{7*x-2*y=-5}}} Start with the given equation


Let's find the x-intercept


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

{{{7*x-2*(0)=-5}}} Plug in {{{y=0}}}


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


{{{x=-5/7}}} Divide both sides by 7




So the x-intercept is *[Tex \Large \left(-\frac{5}{7},0\right)] (note: the x-intercept will always have a y-coordinate equal to zero)




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{{{7*x-2*y=-5}}} Start with the given equation


Now let's find the y-intercept


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

{{{7*(0)-2*y=-5}}} Plug in {{{x=0}}}


{{{2*y=-5}}} Simplify


{{{x=-5/-2}}} Divide both sides by -2




{{{y=5/2}}} Reduce




So the y-intercept is *[Tex \Large \left(0,\frac{5}{2}\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{5}{7},0\right)]


y-intercept: *[Tex \Large \left(0,\frac{5}{2}\right)]