Which interval contains a local maximum for this function?
2 answers:
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The point-slope form of the equation of a line is
where
is a point on the line, and
is the slope of the line.
We can use either one of the two given points as the point on the line.
We also need to find the slope. We can use the coordinates of the two given points to find the slope of the line.
The slope of the line that passes through points
and 
is
Let's find the slope using (-3, 5) as point 1 and (-1, 4) as point 2.
Now we use the point-slope formula with point 1 and the slope we found just above.
where
is a point on the line, and
is the slope of the line.
We can use either one of the two given points as the point on the line.
We also need to find the slope. We can use the coordinates of the two given points to find the slope of the line.
The slope of the line that passes through points
is
Let's find the slope using (-3, 5) as point 1 and (-1, 4) as point 2.
Now we use the point-slope formula with point 1 and the slope we found just above.