Question

What is the x-intercept and y-intercept of the equation 7x -y = 21? Fill in blank 1 and blank 2

Answer 1

Given:

$7x-y=21$

Required:

To find the value of x-intercept and the y-intercept.

Explanation:

Consider the given equation,

$7x-y=21$

To find x-intercept, set

$y=0$

Thertefore, the given equation becomes

$\begin{gathered} 7x-0=21 \\ 7x=21 \\ x=\frac{21}{7} \\ x=3 \end{gathered}$

Hence, the x-intercept is 3.

To find y-intercept, set

$x=0$

Therefore,

$\begin{gathered} 7(0)-y=21 \\ -y=21 \\ y=-21 \end{gathered}$

Final Answer:

The x-intercept is 3.

And the y-intercept is -21.