Question

Find both the x-intercept and the y-intercept of the line given by this equation 7.2x-9.6y-5.7=0

Answer 1

To find the x intercept of the line we have to replace y for 0 and solve for x:

`\begin{gathered} 7.2x-9.6y-5.7=0 \\ 7.2x-9.6(0)-5.7=0 \\ 7.2x-5.7=0 \\ 7.2x=5.7 \\ x=(5.7)/(7.2) \\ x=0.79 \end{gathered}`

To find the y intercept of the line we have to replace x for o and solve for y:

`\begin{gathered} 7.2x-9.6y-5.7=0 \\ 7.2(0)-9.6y-5.7=0 \\ -9.6y-5.7=0 \\ -9.6y=5.7 \\ y=(5.7)/(-9.6) \\ y=-0.59 \end{gathered}`

It means that the x intercept is 0.79 and the y intercept is -0.59.