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1 answer:
Write the equation of the line passing through the points (-7,5) and (-5,9):
.
You also have another two points (-3,13) and (-1,17). Look whether coordinates of these points satisfy the line equation:
1. For (-3,13) you have
;
2. For (-1,17) you have
.
Conclusion: All four points lie on the line y-5=2(x+7), so <span>the relationship shown by the data is linear.</span>
Answer: Correct choice is D.<span />
You also have another two points (-3,13) and (-1,17). Look whether coordinates of these points satisfy the line equation:
1. For (-3,13) you have
2. For (-1,17) you have
Conclusion: All four points lie on the line y-5=2(x+7), so <span>the relationship shown by the data is linear.</span>
Answer: Correct choice is D.<span />
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Answer:
Please check the explanation.
Step-by-step explanation:
We know that the slope or rate of change of the function can be:
- positive
- negative
- zero, or
- undefined
Function 1
From the function 1 graph, it is clear that the graph is a horizontal line. We must note that the horizontal line has a slope or rate of change zero. The reason is that the horizontal line can not rise vertically. i.e. y₂-y₁=0
so using the slope formula
Rate of change = m = y₂-y₁ / x₂-x₁
Taking two points (x₁, y₁) = (0, 4), (x₂, x₁) = (1, 4)
Rate of change = m = 4-4 / 1-0
Rate of change = m = 0/1
Rate of change = m = 0
Thus, the rate of change of function 1 is zero.
Function 2
We know the slope-intercept form of linear equation is
where m is the rate of change or slope of the function and b is the y-intercept
Given the function
comparing with the slope-intercept form i.e. y = mx+b
Therefore, the rate of change of function 2 = m = 8
Conclusion
The rate of change of function 1 = 0
The rate of change of function 2 = 8
as
- 8 - 0 = 8
Therefore, function 2 has 8 more rate of change of function than the rate of change of function 1.