Gradient is the difference between the y-axis and the x-axis
Gradient = y2-y1/x2-x1
Choose any two point making a triangle
Line B (0,8) (4,0)
This makes a triangle please go look at the graph once again! The the triangle should not have half squares but full!
Line A (5,14)(2,2)
Now plug in the variable
The difference between the Y and X
Line B 0-8/4-0
Line B gradient =-2
Line A 2-14/2-5
Line A gradient = +4
Finalized answer
Line B gradient = -2
Line A gradient = +4
Answer:
A. Slope is -12 feet per second
B. Yes, it is constant.
<u>Skills needed: Linear Equations, Substitution and Division</u>
Step-by-step explanation:
1) Solving Part A (we need to find the slope):
- The slope is
-->
,
,
, and
are all values from the table. We know that the left column is the x-values, and the right column is the y-values as that is the conventional way of depicting them.
2) Using the y-values of 1150 and 1090, and their corresponding x-values (5 and 10 respectively), we can get the slope:
-
==>
==>
==>
, so the slope is -12.
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1) Part B (analysis)
We can see that no matter what 2 y-values and their corresponding x values we use, the slope always is the same. This means that the rate of change is constant.