Plot the points that are given in the table below, where time (in seconds) represents your -axis and force (in newtons) represents your -axis. Once you have plotted your graph, determine the value of the -intercept.
=
Time (s) Force (N)
3 26
4 32
7 50
10 68
To plot the graph, we will use the given values to plot the points with time as the -axis and force as the -axis:
(3,26), (4,32), (7,50), (10,68)
Now, we will plot these points on a graph:
[asy]
size(200);
import TrigMacros;
//Draws X-axis
draw((0,-5)--(0,75),black+linewidth(1.5),EndArrow(5));
label("$Time (s)$",(0,75),N);
//Draws Y-axis
draw((-2,0)--(15,0),black+linewidth(1.5),EndArrow(5));
label("$Force (N)$",(15,0),E);
//Draws X-ticks and Labels
xaxis(-2,15,Ticks(" ",2.0));
yaxis(-5,75,Ticks(" ",10.0,NoZero),Arrows(5));
//draws points
dot((3,26),red);
dot((4,32),red);
dot((7,50),red);
dot((10,68),red);
[/asy]
To find the -intercept, we need to find the value of the force when the time is 0 seconds. However, from the table, we can see that we do not have a value when time is 0 seconds. Therefore, we cannot determine the -intercept from this data.