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viktelen [127]
3 years ago
7

Write the equation of the line through the points (1,3) & (-2,5)in slope-intercept form

Mathematics
1 answer:
kari74 [83]3 years ago
6 0

Answer:

-2/3

Step-by-step explanation:

Well you would use slope-intercept formula: \frac{y_2-y_1}{x_2-x_1}. Then you need to plug in your numbers so it would look like \frac{5-3}{-2-1}. then it would look like \frac{2}{-3} and that would be your m. The next step would be to

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Step-by-step explanation:

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Type the correct answer in each box
Luba_88 [7]

Answer:

We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.

We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :

1 - We first group terms with the same variable :

(x²+8x) + (y²+22y) + 37 = 0

2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)

(x²+8x) + (y²+22y) = - 37

3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.

x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²

y²+22y = (y²+22y+11²)-11² = (y+11)²-11²

4 - We plug the new values inside our equation :

(x+4)² - 4² + (y+22)² - 11² = -37

(x+4)² + (y+22)² = -37+4²+11²

(x+4)²+(y+22)² = 100

5 - We re-write in standard form :

(x-(-4)²)² + (y - (-22))² = 10²

And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)

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3 years ago
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Answer:

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Step-by-step explanation:

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3 years ago
The question is in the picture
GrogVix [38]

Ten-thousand   AFAFANDIUAHDIUAHIUDHAIDh (had to write 20 more "letters")


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