Given two points on the graph of the line, the equation of the line can be found.
2 answers:
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Answer:
The average rate of change of the function from x=1 to x=2 will be: 10.5
Step-by-step explanation:
Given the function
at x₁ = 1,
f(x₁) = f(1) = -14/(1)² = -14/1 = -14
at x₂ = 2,
f(x₂) = f(2) = -14/(2)² = -14/(4) = -3.5
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate of change = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [-3.5 - (-14)] / [2 - 1]
= [-3.5 + 14] / [1]
= 10.5 / 1
= 10.5
Therefore, the average rate of change of the function from x=1 to x=2 will be: 10.5
<h3>hello!</h3>
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Parallel lines have the same slope.
So if the given line has a slope of 3, then the line parallel to it has the same slope (3)
Now, let's write the equation of the line in Point-Slope Form.
Remember, point-slope form looks like so:-
Where
y₁ is the y-coordinate of the point that the line passes through
m is the slope
x₁ is the x-coordinate of the point that the line passes through
In this case,
y₁ is equal to -8
m is equal to 3
x₁ is equal to 1
Plug in the values:
Simplify:
and we're done!
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<h3>note:-</h3>Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)