Question

question 1-1
what is the value of the x - intercept for the graph of $12x - 2y = 40$?
$\circ -20$
$\circ -\frac{10}{3}$
$\circ \frac{10}{3}$
$\circ 20$

Explanation:

Step1: Recall x-intercept definition

The x - intercept of a line is the point where \(y = 0\). So we substitute \(y=0\) into the equation \(12x - 2y=40\).

Step2: Substitute y = 0 into the equation

Substituting \(y = 0\) into \(12x-2y = 40\), we get \(12x-2(0)=40\), which simplifies to \(12x=40\).

Step3: Solve for x

To solve for \(x\), we divide both sides of the equation \(12x = 40\) by 12. So \(x=\frac{40}{12}\), and simplifying the fraction \(\frac{40}{12}=\frac{10}{3}\).

Answer:

\(\frac{10}{3}\) (corresponding to the option with \(\frac{10}{3}\))