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Tju [1.3M]
3 years ago
11

Y-intercept:8x +9y=40

Mathematics
2 answers:
Kobotan [32]3 years ago
7 0

Answer:

y-intercept or "b"= 40/9 or 4.4444

Step-by-step explanation:

To do this, we use the formula y = mx +b

m= slope

b = y intercept

The equation we are given is 8x +9y = 40.

First, we need to subtract 8x from both sides to isolate the y variable to one side:

8x +9y = 40

9y = -8x + 40

Now, we need to divide both sides by 9, to solve for "y". This will give use the format of y = mx +b.

9y = -8x +40

y = -8/9x + 40/9

Because 40/9 cannot be reduced (besides 4.44), it will be our "b" or y intercept.

y-intercept = 40/9

I hope this helps!

-TheBusinessMan

Leto [7]3 years ago
5 0

Answer:

40/9

Step-by-step explanation:

9y = -8x + 40

y = -8/9x + 40/9

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What is the equation of the line that passes through the point (-5,2) and has a slope of 4/5
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Answer:

4x - 5y + 30 = 0

Step-by-step explanation:

When a slope of a line and a point passing through it is given then we use slope - one point form to determine the equation of the line.

It is given by:

                      $ (y - y_1) = m (x - x_1) $

where $m$ is the slope of the line and

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Here $m = \frac{4}{5} $ and $ (x_1 , y_1) = (-5,2) $.

Substituting in the equation we get

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3 years ago
If sec(theta) =25/24, find cot(theta) (Picture provided)
larisa [96]

Answer:

B

Step-by-step explanation:

By the definition,

\sec \theta=\dfrac{\text{hypotenuse}}{\text{adjacent leg}}.

If \sec \theta=\dfrac{25}{24}, we can consider right triangle with hypotenuse 25 un. and adjacent leg 24 un. By the Pythagorean theorem,

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\cot \theta=\dfrac{\text{adjacent leg}}{\text{opposite leg}}=\dfrac{24}{7}.

8 0
4 years ago
Read 2 more answers
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