Question

Find both the x-intercept and the y-intercept of the line given by this equation.3.7x+7.6y-5.5 = 0Round your answers to two decimal places.(a) x-intercept:(b) y-intercept:

Answer 1

Given

`3.7x+7.6y-5.5=0`

To find:

The x-intercept and y-intercept.

Step-by-step explanation:

It is given that,

`3.7x+7.6y-5.5=0`

That implies,

Set y=0 in the given equation.

Then,

`\begin{gathered} 3.7x+7.6(0)-5.5=0 \\ 3.7x=5.5 \\ x=(5.5)/(3.7) \\ x=1.49 \end{gathered}`

Also, set x=0 in the given equation.

Then,

`\begin{gathered} 3.7(0)+7.6y-5.5=0 \\ 7.6y=5.5 \\ y=(5.5)/(7.6) \\ y=0.72 \end{gathered}`

Hence, the x-intercept is 1.49, and the y-intercept is 0.72.