Ben Radis
Linear Growth
Linear Growth can be shown as a graph with a straight line. The reason that this line is straight is because the slope, M, remains constant. To calculate the slope of a line, one takes two different coordinate sets (y1,x1) (y2, x2) then subtracts them like so: (y2-y1)/(x2-x1)=m
sample set: (2,3) & (5,2) :: (5-2)/(2-3) = -3
since the slope is negative, the line will slope downward
after finding the slope, the y intercept, b, becomes the next thing to look for.
equation for linear function: y=mx+b
pick a set that sets x to 0
sample from set above: (0,7)
7=-3(0)+b
7=b
after finding the intercept and slope, you can create a linear function:
sample: y=-3x+7
graph:
The picture of the graph was a great way to help teach this!
ReplyDeleteben,
ReplyDeletenice lesson on linear growth. the only thing i want to note is that there wasn't really a connection to "m" and what it means in terms of a linear function. other than that, good job.
professor little