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notsponge [240]
3 years ago
5

The slope of the line that contains the points (2, 14) and (3, 20) is 6. What is the y-intercept?

Mathematics
1 answer:
boyakko [2]3 years ago
8 0

Answer:

B. 2 [0, 2]

Step-by-step explanation:

Plug the coordinates into the Slope-Intercept Formula. It does not matter which ordered pair you choose:

20 = 6[3] + b

18

2 = b

y = 6x + 2

__________________________________________________________

14 = 6[2] + b

12

2 = b

y = 6x + 2

** You see? I told you that it did not matter which ordered pair you choose because you will always get the exact same result.

I am joyous to assist you anytime.

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umka21 [38]

Answer:

a. u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}

Step-by-step explanation:

The given vector is v= 4i - 5j

The magnitude of this vector is;

|v|=\sqrt{(-4)^2+(-5)^2}

|v|=\sqrt{16+25}

|v|=\sqrt{41}

The unit vector u in the direction of v is;

u=\frac{v}{|v|}

u=\frac{4i - 5j}{\sqrt{41}}

u=\frac{4i }{\sqrt{41}}-\frac{5j}{\sqrt{41}}

We rationalize to get

u=\frac{4\sqrt{41}i }{41}-\frac{5\sqrt{41}j}{41}

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3 years ago
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Natalka [10]
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