What is ↓ when n = 8?
1 answer:
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The general form of the equation of a line is represented by the Affine function y = mx + b, in which m represents the slope, b the y-intercept, y and x the coordinates of a point.
By hypothesis, we got the slope (m = 4), and the coordinates of a point (in which x = 0 and y = -9). So all we need to do is to find the y-intercept b.
Let's replace the values we have in the equation y = mx + b:
-9 = 4*0 + b
-9 = 0 + b
-9 = b.
We got now the y-intercept. So the final equation of the line is:
y = 4x - 9
If we subtract 4x from each side, we get:
y - 4x = -9
And if we multiply both sides by -1, we get:
4x - y = 9
So the equation of the line, based on your choices, is 4x - y = 9.
I've added a picture of the graph of the equation under the answer.
Hope this Helps! :)
By hypothesis, we got the slope (m = 4), and the coordinates of a point (in which x = 0 and y = -9). So all we need to do is to find the y-intercept b.
Let's replace the values we have in the equation y = mx + b:
-9 = 4*0 + b
-9 = 0 + b
-9 = b.
We got now the y-intercept. So the final equation of the line is:
y = 4x - 9
If we subtract 4x from each side, we get:
y - 4x = -9
And if we multiply both sides by -1, we get:
4x - y = 9
So the equation of the line, based on your choices, is 4x - y = 9.
I've added a picture of the graph of the equation under the answer.
Hope this Helps! :)
Answer:
Option (D).
Step-by-step explanation:
In the figure attached,
An exponential function has been graphed with certain points marked on it.
To find the average rate of change for this function between the given interval we will use the formula,
Average rate of change =
where = value of the function at x = 4
= value of the function at x = 2
By substituting these values in the formula,
Average rate of change =
=
= 6
Therefore, Option D will be the answer.