Combine like terms then solve as a one step equation
A = (-7,-6)
B = (8,-9)
Find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (-9-(-6))/(8-(-7))
m = (-9+6)/(8+7)
m = -3/15
m = -1/5
The slope of line AB is -1/5.
Flip the fraction and the sign to go from -1/5 to +5/1 = 5. The perpendicular slope is 5.
Let m = 5.
Use the coordinates of point C (2,12) along with the perpendicular slope to get
y - y1 = m(x - x1)
y - 12 = 5(x - 2)
y - 12 = 5x - 10
y = 5x - 10+12
y = 5x + 2
Lastly, convert this to standard form
y = 5x + 2
5x+2 = y
5x+2-y = 0
5x-y = -2
Choice A is the closest match, but the -56 should be -2 instead. It seems like your teacher made a typo somewhere.
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Answer:
5n+8
Step-by-step explanation:
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Answer:
The correct answer is the first option, the center of the circle is at (-2,4) and its radius is 15.
Step-by-step explanation:
A circle can be represented by the following equation:
![(x - x_c)^2 + (y - y_c)^2 = r^2](https://tex.z-dn.net/?f=%28x%20-%20x_c%29%5E2%20%2B%20%28y%20-%20y_c%29%5E2%20%3D%20r%5E2)
Where
are the coordinates of the center of the circle and
is its radius. Comparing this to the given expression we can determine that the center of the given circle is
and the radius is
, therefore the correct answer is the first option.