Question

formFind both the x-intercept and the y-intercept of the line given by this equation.3.7x-4.7y-9.7 = 0Round your answers to two decimal places.

Answer 1

x-intercept: ()

Explanations:

Given the function expressed as;

`3.7x-4.7y-9.7=0`

For the x-intercept

This is the point where the y-value of the function is zero

`\begin{gathered} 3.7x-4.7(0)-9.7=0 \\ 3.7x-9.7=0 \\ 3.7x=9.7 \\ x=(9.7)/(3.7) \\ x=2.62 \end{gathered}`

Hence the x-intercept of the function is (2.62, 0)

For the y-intercept

This is the point where the value of x is zero.

`\begin{gathered} 3.7(0)-4.7y-9.7=0 \\ -4.7y=9.7 \\ y=-(9.7)/(4.7) \\ y=2.06 \end{gathered}`

Hence the y-intercept of the line is (0, 2.06)