Find the slope of each of the three line segments. Between which two points is the slope the largest? 0 to 3 to 6 to 9 not a straight line.
To find the slope of a line segment, we need two points on the line. In this case, we have three line segments: 0 to 3, 3 to 6, and 6 to 9. Let's start with the first segment, 0 to 3.
To find the slope between two points, we use the formula:
slope = (change in y) / (change in x)
Let's calculate the slope for the first segment:
First, find the change in y:
change in y = y2 - y1
Since we are going from point 0 to point 3, the change in y is:
change in y = 3 - 0 = 3
Next, find the change in x:
change in x = x2 - x1
Again, since we are going from point 0 to point 3, the change in x is:
change in x = 3 - 0 = 3
Now, plug the values into the slope formula:
slope = change in y / change in x
slope = 3 / 3
slope = 1
So, the slope of the line segment from 0 to 3 is 1.
Now, let's calculate the slope for the second segment, 3 to 6.
change in y = y2 - y1 = 6 - 3 = 3
change in x = x2 - x1 = 6 - 3 = 3
slope = change in y / change in x
slope = 3 / 3
slope = 1
The slope of the line segment from 3 to 6 is also 1.
Finally, let's calculate the slope for the third segment, 6 to 9.
change in y = y2 - y1 = 9 - 6 = 3
change in x = x2 - x1 = 9 - 6 = 3
slope = change in y / change in x
slope = 3 / 3
slope = 1
The slope of the line segment from 6 to 9 is also 1.
Since the slope is the same for all three line segments, the largest slope does not exist between any two points. In this case, since the line is not a straight line, the slope remains constant for each segment.