The function f(x) has an average rate of change on the interval -2≤x≤3 of 17/5. If f(-2)=9 then which of the following is the va
lue of f(3)?
(1)12.4
(2)17
(3)21.8
(4)26
(1)12.4
(2)17
(3)21.8
(4)26
1 answer:
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Answer:
The equation of line is shown below.
Step-by-step explanation:
The equation of line is
It is the point slope form of a line, therefore the slope of the line is and the line passing through (4,-1).
Rewrite the above equation in slope intercept form.
The point slope form of a line is
Where m is the slope and b is y-intercept.
Therefore the slope of the line is and the y-intercept of the line is
.
Slope is defined as
Since the slope is negative, therefore the run of the line is considered on the left side. The line rise by 3 and run by 5, therefore we will add 7 in y and subtract 5 from x.
The y-intercept is .
Therefore we have three points (4,-1), (-5,4.4) and (0,1.4). Plot the point on the coordinate plane and connect them be a straight line.
