Collaborative effort by Adeya Powell and Laura Trkovsky
for some appropriate range for t.
Interpret. Is there anything to vary to help understand the graph?
LetÍs start making some conjectures:
I believe the graph will be line because t+1 and 2t+1 are both graphs of a line.
LetÍs see if we can line the x and y intercepts:
Y=mx+b is the slope intercept form of a line.
therefore, 2t-1=m*(t+1) +b
Finding the y-intercept:
x=0 when t=-1
when x=0, b=2t-1 but t=-1, therefore b=-3.
(0,-3) is the y intercept.
Where does the line? hit the x-intercept:
Y=0 when t=1/2
LetÍs now look at the graph,
We were correct about the intercepts. The t values went from
-44. So the y values would go from -97.
If we increase the values for t, we would lengthen the line. If we decrease the value for t, we would shorten the line.