Question

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

Answer 1

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)`