Question

Determine the x-intercept for 3x + 2y = 14.A) (7,0) B) (0,7) C) (14/3,0) D) (0,14/3)

Answer 1

By definition, when the line intersects the x-axis, the value of "y" is:

`y=0`

Knowing this, you can substitute that value of "y" into ithe equation given in the exercise:

`\begin{gathered} 3x+2y=14 \\ 3x+2(0)=14 \end{gathered}`

Now you must solve for the variable "x" in order to find the x-intercept. This is:

`\begin{gathered} 3x+0=14 \\ 3x=14 \\ x=(14)/(3) \end{gathered}`

Then, you get this point:

`((14)/(3),0)`

The answer is: Option C.