Answer:
Explanation:
Equation of a circle:
- (x - h)² + (y - k)² = r², where (h, k) is its center and r- radius
Given
- The center is at (5, - 1),
- The circle is tangent to the y-axis.
Solution
Plug in the values of (h, k) a h = 5 and k = - 1:
- (x - 5)² + (y - (-1))² = r²
- (x - 5)² + (y + 1)² = r²
Find the radius r
Recall the x-coordinate of the center is the distance from the y-axis, so this is the radius:
Plug in the value of r:
- (x - 5)² + (y + 1)² = 5²
- (x - 5)² + (y + 1)² = 25