General equation for a circle
(x - a)² + (y - b)² = r²
with (a,b) represents the center, (x,y) represents one of the points lie on the circle, and r represents the radius
Determine r² by substituting the points into the general equation
(x - a)² + (y - b)² = r²
(5 - (-1))² + (-4 - 2)² = r²
(5 + 1)² + (-6)² = r²
6² + 36 = r²
36 + 36 = r²
72 = r²
Determine the equation of the circle
(x - a)² + (y - b)² = r²
(x - (-1))² + (y - 2)² = 72
(x + 1)² + (y - 2)² = 72 (This is the equation of the circle)
If the line is parallel to y=1/5x-4, the line must have the same slope.
So, the slope of your line is 1/5.
Now we need to find the y intercept. We should use the point given.
y=mx+b
1=1/5(5)+b
b=0
Equation: y=1/5x
Answer:
Step-by-step explanation:
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