Question

A line graph which shows X-axis ranging from 0 to 15 in increments of 5 and y-axis ranging from 0 to 30 in increments of 10. Colin charges a flat fee for babysitting plus an hourly fee. His total cost is represented on the graph. How can you represent this situation algebraically?(1 point)y=x+

Answer 1

You can write it as y = mx + b, where
- x = hours babysat,
- y = total cost (dollars),
- m = hourly rate,
- b = flat (starting) fee.

To get the numbers from the graph:
1. Read the y-intercept b (the cost when x = 0).
2. Pick a second point on the line, (x2, y2), and compute the slope m = (y2 − b)/(x2 − 0).

Example: if the line passes through (0, 10) and (5, 15), then b = 10 and m = (15 − 10)/5 = 1, so y = x + 10.

If you can tell me the y-intercept and one other point (or upload the graph), I’ll give the exact equation.