The y-intercept of the line is 0. This means that the initial cost of the dog walking service is $0.
The slope of a line is a measure of its steepness, and it can be calculated using the following formula:
m = (y2 - y1) / (x2 - x1)
where:
m is the slope of the line
(y2, x2) and (y1, x1) are two points on the line
The y-intercept of a line is the point where the line crosses the y-axis, and it can be calculated using the following formula: b = y - mx
where:
b is the y-intercept of the line
(y, x) is any point on the line
m is the slope of the line
Determining the slope and y-intercept of Linda's Dog Walking Service graph:
To determine the slope and y-intercept of Linda's Dog Walking Service graph, we can use two of the points on the graph.
Let's use the points (20, 15) and (120, 90).
Slope:
m = (90 - 15) / (120 - 20) = 75 / 100 = 0.75
Therefore, the slope of the line is 0.75. This means that for every additional minute of dog walking, the cost increases by $0.75.
Y-intercept:
b = 90 - (0.75 * 120) = 90 - 90 = 0
Therefore, the y-intercept of the line is 0. This means that the initial cost of the dog walking service is $0.
The slope of Linda's Dog Walking Service graph is 0.75, and the y-intercept is 0.
This means that for every additional minute of dog walking, the cost increases by $0.75, and the initial cost of the service is $0.