The slope of the line is 8 and the y-intercept is (0, 10).
The slope of the line is the rate of change of the cost of child care with respect to the number of hours.
We can use the formula you provided:
m = (y2 - y1) / (x2 - x1)
where (x1, y1) and (x2, y2) are any two points on the line. Let's choose the points (1, 10) and (6, 50).
m = (50 - 10) / (6 - 1) = 40 / 5 = 8
Therefore, the slope of the line is 8.
This means that the cost of child care increases by $8 for every additional hour of care.
The y-intercept of the line is the point where the line crosses the y-axis.
This represents the initial cost of child care for 0 hours of care. In this case, the y-intercept is (0, 10).
This means that the initial cost of child care is $10.
Therefore, the slope of the line is 8 and the y-intercept is (0, 10).
Interpretation:
The slope of 8 tells us that the cost of child care is increasing at a rate of $8 per hour.
The y-intercept of (0, 10) tells us that the initial cost of child care is $10.
In other words, for each additional hour of child care, parents will need to pay an additional $8.
The initial cost of child care for 0 hours is $10.
Question
Find the the slope (rate of change) and the y intercept (initial value) for this! You can use the formula y = mx + b or m = y2-y1/x2-x1