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Find the x- and y-intercepts of the graph of the equation.5x + 3y = 15x−intercept (x, y) = ( ) y−intercept (x, y) = ( )

User Rafael Sanches
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1 Answer

16 votes
16 votes

Consider that the intercept form of equation of a line whose x-intercept is (a,0) and y-intercept is (0,b), is given by,


(x)/(a)+(y)/(b)=1

The equation of the line is given as,


5x+3y=15

Convert this equation into intercept form,


\begin{gathered} (5x)/(15)+(3y)/(15)=1 \\ (x)/(3)+(y)/(5)=1 \end{gathered}

Comparing with the standard equation,


\begin{gathered} a=3 \\ b=5 \end{gathered}

Thus, the x-intercept and y-intercept of the equation, respectively, are,


(3,5)\text{ and }(0,5)

User Shadowfirebird
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