What are the x- and y-intercepts of the line tangent to the circle (x – 2)2 + (y – 2)2 = 52 at the point (5, 6)?
1. What is the relationship between the line tangent to the circle at the point
(5, 6) and the radius of the circle containing the point (5, 6)?
2. What is the product of the slopes of two perpendicular lines or line segments?
3. What is the center of the circle?
4. How can you use the slope formula to find the slope of the radius of the circle containing the point (5, 6)? What is this slope?
5. What is the slope of the line tangent to the circle at point (5, 6)?
6. What is the slope-intercept equation for a line?
7. How can you use the slope-intercept equation to find the y-intercept for the line tangent to the circle at point (5, 6)?
8. How can you use this equation to find the x-intercept for the line tangent to the circle at point (5, 6)?
9. What are the x- and y-intercepts for the line tangent to the circle at point (5, 6)?
