One ride costs $14.50, 2 rides cost 17.00,3 rides cost 19.50, 4 rides cost 22.00 and 5 rides cost 24.50. the rate of change is 2.50. but i need finding the y-intercept. someone me i can’t seem to understand this y-intercept thing

The y-intercept is 14.50. The y-intercept is where it all starts. the equation would be y=2.50x+14.50 because its 14.50 for 1 + 2.5 per other ride

The circle's centre is at the position (3, 5), and it has a radius of 2

Step-by-step explanation:

First let's put it in a useful format by completing the squares:

x² + y² - 6x - 10y + 30 = 0

x² - 6x + y² - 10y = -30

x² - 6x + 9 + y² - 10y + 25 = -30 + 9 + 25

(x - 3)² + (y - 5)² = 4

This tells us that the centre position is (3, 5) and the radius is √4, or 2