Question

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

Answer 1

Answer:

$(0,-21)\text{ and }(-\frac{21}{2},0)$

Step-by-step 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.

$0=-2x-21\Rightarrow x=-\frac{21}{2}$

So, x-intercept is $-\frac{21}{2}$.

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