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:

Respuesta :

Given

[tex]3.7x+7.6y-5.5=0[/tex]

To find:

The x-intercept and y-intercept.

Explanation:

It is given that,

[tex]3.7x+7.6y-5.5=0[/tex]

That implies,

Set y=0 in the given equation.

Then,

[tex]\begin{gathered} 3.7x+7.6(0)-5.5=0 \\ 3.7x=5.5 \\ x=\frac{5.5}{3.7} \\ x=1.49 \end{gathered}[/tex]

Also, set x=0 in the given equation.

Then,

[tex]\begin{gathered} 3.7(0)+7.6y-5.5=0 \\ 7.6y=5.5 \\ y=\frac{5.5}{7.6} \\ y=0.72 \end{gathered}[/tex]

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