Answer:
The answer to your question is:
(x - 5)² + (y + 4)² = 10² or (x - 5)² + (y + 4)² = 100
Step-by-step explanation:
Data
Center (5, - 4)
Point ( -3 , 2)
Formula
d = √ ((x2- x1)² + (y2 - y1)²)
(x - h)² + (y - k)² = r²
Process
Radius
d = √ ((-3 - 5)² + (2 + 4)²)
d = √ ((-8)² + (6)²)
d = √ 64 + 36
d = √100
d = 10 units
Circle
(x - 5)² + (y + 4)² = 10²
(x - 5)² + (y + 4)² = 100
You’d have to solve your equations!
they’d be the same when x=-56
and when x=-56 they’d BOTH equal -27
Answer:
use the slope equation (y2-y1) / (x2 -x1). plug in values and solve
(-1 -7) / (9 -(-3)) (subtracting a negative is the same as adding a positive)
-8 / 12 (simplify)
m = -2/3
then, plug in one of the points and the slope into the slope-point equation.
(y - y1) = m (x - x1) (the point-slope form)
y - 7 = -2/3( x - (-3)) (plug in the slope and point 1 values, then solve)
y - 7 = -2/3x - 2 (add 7 to both sides)
y = 2/3x +5 (the answer)
Step-by-step explanation:
I hope this helps :))
