Plot the points that are given in the table below, where time (in seconds) represents your x-axis and displacement (in meters) represents your y-axis. Once you have plotted your graph, determine the value of the slope.

Question

Time (s) Displacement (m)
2 21
4 35
5 42
9 70

Answer 1

First, we plot the points on a coordinate plane:

(2, 21), (4, 35), (5, 42), (9, 70)

Next, we can determine the slope of the line passing through these points using the slope formula:

slope = (change in y) / (change in x)

We can choose any two points to calculate the slope. Let's use (2, 21) and (9, 70):

slope = (70 - 21) / (9 - 2) = 49 / 7

Therefore, the slope of the line passing through the given points is 7.

Answer 2

Plot the points that are given in the table below, where time (in seconds) represents your -axis and displacement (in meters) represents your -axis. Once you have plotted your graph, determine the value of the slope.


Time (s) Displacement (m)
0 3
4 27
7 45
8 51

Answer 3

First, we plot the points on a coordinate plane:

(0, 3), (4, 27), (7, 45), (8, 51)

Next, we can determine the slope of the line passing through these points using the slope formula:

slope = (change in y) / (change in x)

We can choose any two points to calculate the slope. Let's use (0, 3) and (8, 51):

slope = (51 - 3) / (8 - 0) = 48 / 8 = 6

Therefore, the slope of the line passing through the given points is 6.