Question 591307
I'm assuming you want the x and y intercepts.




<h4>x-intercept</h4>

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



{{{10x + 13y =154}}} Start with the given equation.



{{{10x + 13(0) =154}}} Plug in {{{y=0}}}.



{{{10x + 0 =154}}} Multiply {{{13}}} and 0 to get 0.



{{{10x=154}}} Simplify.



{{{x=(154)/(10)}}} Divide both sides by {{{10}}} to isolate {{{x}}}.



{{{x=77/5}}} Reduce.



So the x-intercept is *[Tex \LARGE \left(\frac{77}{5},0\right)].



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<h4>y-intercept</h4>

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



{{{10x + 13y =154}}} Start with the given equation.



{{{10(0) + 13y =154}}} Plug in {{{x=0}}}.



{{{0 + 13y =154}}} Multiply {{{10}}} and 0 to get 0.



{{{ + 13y =154}}} Simplify.



{{{y=(154)/(13)}}} Divide both sides by {{{13}}} to isolate {{{y}}}.



So the y-intercept is *[Tex \LARGE \left(0,\frac{154}{13}\right)].