Write a rule to describe the function shown. x y −6 −4 −3 −2 0 0 3 2
1 answer:
Answer:
y= 2/3 x
Step-by-step explanation:
First plot the points on a Cartesian plan
You will notice a straight line passing through the origin (0,0)
Find the gradient of the line;
m=change in y/change in x
m=2-0/3-0 =2/3
Find the equation of the line
y-2/x-3 =2/3
3(y-2) = 2(x-3)
3y-6= 2x-6
3y=2x-6+6
3y=2x
y=2/3 x + 0
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Answer:
I don't know if your question is multiple choice or not but here's a close estimate to what it should be.
y =
Step-by-step explanation:
Obviously at a drop of 0 height there would be 0 rebound height so your y-intercept has to be 0.
As for the slope of the line I used the point at 2.5 and 3.
Here are the coordinates (2.5, 1.25) and (3, 1.625)
Find the average rate of change as you see below
1.625 - 1.25 = .375
3 - 2.5 = .5
.375 / .5 = .75 or 3x/4
The points aren't exactly on the line and the graph isn't 100% linear so obviously the equation is not 100% precise. The slope should very close to 0.75 or 3/4.