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.

Step-by-step 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=(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.