Select the correct answer.
This scatter plot shows the association between time elapsed and distance left to go when John drove from city A to city B. What are the slope and the y-intercept of the line of best fit on the scatter plot?
Graph shows line and 6 points plotted in quadrant 1 of coordinate plane with time in minutes on X-axis and distance in miles on Y-axis. Line goes through (0, 80), (120, 5). Points are plotted at (20, 75), (40, 50), (60, 45), (80, 30), (100, 22).
A.
The y-intercept is 80, and the slope is
.
B.
The y-intercept is 80, and the slope is
.
C.
The y-intercept is 0, and the slope is
.
D.
The y-intercept is 15, and the slope is
.
E.
The y-intercept is 0, and the slope is
.
B. The y-intercept is 80, and the slope is -0.625.
To find the slope and y-intercept of the line of best fit on the scatter plot, we can use the two points given, (0, 80) and (120, 5).
The slope of a line can be calculated using the formula:
slope = (change in y)/(change in x)
So, in this case, the slope is:
slope = (5 - 80)/(120 - 0) = -75/120 = -0.625
The y-intercept represents the value of y when x is 0. In this case, the y-intercept is 80.
Therefore, the correct answer is:
A. The y-intercept is 80, and the slope is -0.625.
To find the slope and y-intercept of the line of best fit on the scatter plot, we can use the coordinates of two points on the line. In this case, the points (0, 80) and (120, 5) are given.
The slope of a line can be determined using the formula: slope = (change in y)/(change in x). In this case, the change in y is (5-80) = -75 and the change in x is (120-0) = 120. Therefore, the slope = -75/120 = -5/8.
The y-intercept is the point where the line crosses the y-axis. In this case, the y-intercept is the point (0, 80).
Therefore, the correct answer is:
B. The y-intercept is 80, and the slope is -5/8.