Question

Determine the intercepts of the line.
y= -2x - 21

Answer 1

`(0,-21)\text{ and }(-(21)/(2),0)`

Explanation:

The given equation of line is

`y=-2x+21`

We need to find the intercepts of the line.

Substitute x=0 in the given equation to find the y-intercept.

`y=-2(0)-21=-21`

So, y-intercept is -21.

Substitute y=0 in the given equation to find the x-intercept.

`0=-2x-21\Rightarrow x=-(21)/(2)`

So, x-intercept is
`-(21)/(2)`.

Therefore, the line x and y- intercept of the give line are
`(0,-21)\text{ and }(-(21)/(2),0)` respectively.