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musickatia [10]
3 years ago
13

Pythagorean theorem? Would be absolutely poggers if you can help with more than one!

Mathematics
1 answer:
OLga [1]3 years ago
7 0
Plz help I’m getting timed
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Determine the intercepts of the line. y=−2x−21
yuradex [85]
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 = \frac{21}{2} = 10 \frac{1}{2}
Therefore, the x-intercept is the point (10 1/2; 0).

--------------------------------------
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 \times 0 - 21 = - 21
Therefore, the y-intercept is the point (0; -21).
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