Question

Fill in the blanks for blank one and blank two. What is the x-intercept and y-intercept of the equation 6x - 2y = 18?

Answer 1

Given:

$6x-2y=18$

Required:

To find the x-intercept and y-intercept of the given equation.

Explanation:

Consider the given equqation,

$6x-2y=18$

To find x-intercept, set

$y=0$

Therefore, the given equation becomes

$\begin{gathered} 6x-2(0)=18 \\ 6x-0=18 \\ 6x=18 \\ x=\frac{18}{6} \\ x=3 \end{gathered}$

Hence x-intercept is 3.

To find the y-intercept, set

$x=0$

Therefore,

$\begin{gathered} 6(0)-2y=18 \\ 0-2y=18 \\ -2y=18 \\ y=\frac{18}{-2} \\ y=-9 \end{gathered}$

Hence, the y-intercept is -9.

Final Answer:

The x-intercept is 3.

The y-intercept is -9.