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AleksAgata [21]
3 years ago
8

A straight line ,L, passes through the points (2,9) and (3,5) Find the equation of the line L.​

Mathematics
1 answer:
Ugo [173]3 years ago
4 0

Answer:

y-9=-4(x-2) or y=-4x-1

Step-by-step explanation:

First we must find the slope. Using the slope formula (diff y/diff x), we plug in using the given points;

(9-5)/(2-3)

=>4/-1 or just -4

Now, using the point slope formula, pick any point and plug into the formula y-y_1=m(x-x_1);

y-9=-4(x-2)

You can leave it just as this, if it asks specifically for slope-intercept form (y=mx+b) then just expand and simplify;

y-9=-4x+8

=> y=-4x-1

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Answer:

Cos θ = √7/3

Step-by-step explanation:

From the question given above, the following data were obtained:

Sine θ = √2 / 3

Cos θ =?

Recall

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Sine θ = √2 / 3

Thus,

Opposite = √2

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Next, we shall determine the Adjacent. This can be obtained as follow:

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Collect like terms

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Take the square root of both side

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Cos θ = √7/3

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