A. Find the slope of the roof of a home that rises 8 feet for every horizontal change of 24 feet.
1 answer:
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ANSWER:
22
(All you’re doing is plugging in the values into the formula)
22
(All you’re doing is plugging in the values into the formula)
In order to find any of the info we need we have to find the first derivative of the equation. If 
, then 
. We are told to find the slope at point (1, 7). Using that x value in our derivative will give us the slope of the line at that point. y' = -(1)^2+8. So y' = 7. That's the slope of the line. Now we will use that slope along with the x and y coordinate in the slope-intercept form of a line to solve for b. 7 = 7(1) + b so b = 0. Our equation then is y = 7x. If you graph these in the same window on your calculator, you can see how perfectly that align at the given point. It's really quite perfect.
The first picture shows you how to solve it and the second picture is showing you how to get your answer in simplest form.
