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Alika [10]
3 years ago
14

What is the y-intercept when a line has a slope of 3 and passes through the point (2, 7)?

Mathematics
1 answer:
dybincka [34]3 years ago
4 0

Answer:

The y-intercept is (0,1)

Step-by-step explanation:

So, first you need to find the equation! Point slope form is (y-y1)=m(x-x1).

Plug the numbers in and you get (y-7)=3(x-2). Now, the y intercept is where x=0, so plug in zero for x.

y-7=3(0-2)

y-7=3(-2)

y-7= -6.

-6+7= 1, so y=1

The ordered pair is then (0,1). Hope this was useful :)

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Circle P is described by the equation (x−1)2+(y+6)2=9 and circle Q is described by the equation (x+4)2+(y+14)2=4. Select from th
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Answer:

(a) Circle Q is 9.4 units to the center of circle P

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Step-by-step explanation:

Given

P:(x - 1)^2 + (y + 6)^2 = 9

Q:(x + 4)^2 + (y + 14)^2 = 4

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(x - h)^2 + (y - k)^2 = r^2

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P:(x - 1)^2 + (y + 6)^2 = 3^2

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The distance between them is:

d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2

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Center = (1,-6) --- (x_1,y_1)

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r = 3 --- circle P

r = 2 --- circle Q

By comparison

2 < 3

<em>Hence, circle Q has a smaller radius</em>

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