Five plus five equals what??
2 answers:
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Answer:
Step-by-step explanation:
.
m is the slope of the line. To find it we can do which is the difference between the y-coordinates divided by the difference between the x-coordinates.
So: . Now we have the slope, let's input a set of coordinates into the equation so that we can find the constant
.
- Re-arranging to get b
Now re-write the equation as we have the constants.
Answer:
Step-by-step explanation:
The equation of any line in slope-intercept form is:
y=mx+b
Being m the slope and b the y-intercept.
Assume we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
Two points are given: (-6,4) and (-2,2). Calculating the slope:
The equation of the line is, so far:
To calculate the value of b, we use any of the given points, for example (-6,4):
Solving:
b = 1
The equation of the line is:
We can see none of the choices is correct.
To solve this we are going to use the average rate of change formula: 
where
is the average rate of change of the function
is the position function evaluated at 
is the position function evaluated at 
is the first point in the interval
is the second point in the interval
We can infer for our problem that the first point is 3 and the second point is 6, so
and 
. Lets replace those values in our formula:
We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>
where
We can infer for our problem that the first point is 3 and the second point is 6, so
We can conclude that the average rate of change of the function f(x) = 1 x - x2 - 2 for <span>3 ≤ x ≤ 6 is -8</span>