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lisov135 [29]
2 years ago
7

Determine the y-intercept of 5x-6y=10

Mathematics
2 answers:
Tema [17]2 years ago
6 0

Answer:

The y intercept of the equation is 10.

nignag [31]2 years ago
3 0
Answer: -5/3

Let’s first rewrite the equation

5x-6y=10

Now we need to turn this into y=mx+b form. As the equation suggests, we need to first get y alone on the left side. We’ll do this by subtracting 5x on both sides

5x-6y=10
-5x -5x
__________
-6y=-5x+10

Now we need to get y by itself. Since it is being multiplied by -6, let’s divide each number by -6.

-6y=-5x+10

-6y/-6=-5x/-6+10/-6

y=5/6x-10/6

y=5/6x-5/3

When returning to the model equation y=mx+b, b is the y-intercept. This means that whatever is in its place will be the same thing. In our formed equation, 5/3 is in the place of b. This is your answer!

Hope this helps comment below for more questions :)

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Read 2 more answers
What is the equation of the line passing through ( -5, -3 ) and perpendicular
Artist 52 [7]

Answer:

y = 7/5x + 4

Step-by-step explanation:

use the slope from the equation -5/7 and take the negative reciprocal to get the perpendicular slope = 7/5. Then use the equation y=mx+b. Plug in x and y from the point given and the new slope and solve for b.

(-3) = (7/5)(-5) + b, (-3) = -7 + b, add 7 to both sides. b = 4. Rewrite the equation now to be y = 7/5x + 4

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3 years ago
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Answer:

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Radius: 2

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x² + y² - 6x - 10y + 30 = 0

Put equation into center-radius form. First regroup terms:

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