Y+8=3(x--5) what are the points if the slope is 3

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Ответ:

gabrielrivasgom

20.07.2021

Mathematics

${(x-h)^{2}+(y-k)^{2}}= r^{2}$ is the required equation of a circle .

Step-by-step explanation:

We know that distance formula is the distance between any two points p(x_1, y_1) , q(x_2,y_2) is given by:

$Distance = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

⇒ $Distance = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

⇒ $Distance^{2} = {(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

Now, In equation of circle , Suppose we have center at c(h,k) and arbitrary point in the circle is r(x,y) . Distance between any point at circle to it's center is radius of circle i.e. r , putting these values in distance formula we get:

⇒ $Distance^{2} = {(x_2-x_1)^{2}+(y_2-y_1)^{2}}$

⇒ $r^{2} = {(x-h)^{2}+(y-k)^{2}}$

⇒ ${(x-h)^{2}+(y-k)^{2}}= r^{2}$ , which the required equation of a circle .

How is the distance formula related to the equation of a circle?

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