For the given circle, find the value of x
1 answer:
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The three points A,B,C are all points on this circle.
Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle (x,y):
Plugging in points A and B into distance formula, then setting them equal to each other gives:
Right away we can cancel out the x terms leaving:
Expand Left side and Solve for y:
Plug in points B and C as before:
Here we can cancel the y-terms.
Expand and solve for x:
Therefore the center of the circle is the point (6,3)
Each point is then equal distance from the center, that distance being the radius of the circle.
Using the distance formula, we can find the center of the circle (x,y):
Plugging in points A and B into distance formula, then setting them equal to each other gives:
Right away we can cancel out the x terms leaving:
Expand Left side and Solve for y:
Plug in points B and C as before:
Here we can cancel the y-terms.
Expand and solve for x:
Therefore the center of the circle is the point (6,3)
The final equation of line that passes through (9, 0) AND (0, -6) is:
Further explanation:
The general form of equation of line is:
Given
(x1,y1) = (9,0)
(x2,y2) = (0, -6)
We have to find the slope first:
Putting the value of slope in general form
To find the value of b, we have to put a point in the equation
Putting (9,0) in equation
Putting the values of b and m in general form
The final equation of line that passes through (9, 0) AND (0, -6) is:
Keywords: Equation of line, Pount-slope form
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