Question

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

Answer 1

x= 10.5,0

y=0,-21

Explanation:

Answer 2

Hi there!

Let's first determine the x-intercept. When dealing with an x-intercept we must realise the y-coordinates equal 0.


`y = - 2x - 21 \\ y = 0 \\ \\ - 2x - 21 = 0`
Add 21 to both sides.


`- 2x = 21`
Divide both sides by -2.


`x = (21)/(2) = 10 (1)/(2)`
Therefore, the x-intercept is the point (10 1/2; 0).

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Now let's continue with the y-intercept, which is easier. When dealing with an y-intercept we must realise the x-coordinates equal 0.


`y = - 2x - 21 \\ x = 0 \\ \\ y = - 2 * 0 - 21 = - 21`
Therefore, the y-intercept is the point (0; -21).