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

Answer:

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

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

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.

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

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