Answer:
The common difference is same = d = -9
Therefore, the data represent a linear function.
Step-by-step explanation:
Given the table
x y
1 4
2 -5
3 -14
4 -23
5 -32
Finding the common difference between all the adjacent terms of y-values
d = -5 - 4 = -6,
d = -14 - (-5) = -14+5 = -9
d = -23 - (-14) = -23 + 14 = -9
d = -32 - (-23) = -32 + 23 = -9
It is clear that the common difference between all the adjacent terms is same.
Thus,
d = -9
We know that when y varies directly with x, the function is a linear function.
Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.
i.e. The common difference is same = d = -9
Therefore, the data represent a linear function.
2a+8a
Add 2 and 8.
2a+8a=10a
The answer should be A. 4 Meters
The slope-intercept form:
m - slope
b - y-intercept
The formula of a slope:
We have the points (-3, 1) and (2, -4). Substitute:
Therefore we have the equation of a line
Put the coordinates of the point (-3, 1) to the equation:
<em>subtract 3 from both sides</em>
<h3>Answer: y = -x - 2</h3>
