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svetoff [14.1K]
2 years ago
8

Write a linear equation in the form y=mx+b

Mathematics
1 answer:
Vera_Pavlovna [14]2 years ago
6 0
Y = -2x - 3

When I put this into y2-y1/x2-x1 (equation to find slope) I did the coordinate pairs (3,-9) and (4,-11). When you plug it in it’s -11+9/4-3. This gets you -2/1, which is -2. That’s your slope. Then, in order to get the y-intercept, you can use any of those pairs. I did -9 = 3(-2) + b. -9=-6 + b and in the end this gets you -3 = b. So the full equation is y = -2x - 3.
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the derivitive is just the slope

minimum happens when the derivitive goes from negative to positive, imagine a slope of the function, the minimum is where the slope goes from neative to positive, and to get there, it has to pass through 0

max happens when the derivitive goes from positive to negative

increaseing is when the derivitive is positive



so, based on what you said, the slope of f(x) is 0 at x=-3, x=1 and x=2 since those are where the derivitive is 0 (derivitive is just the slope)

A and B are wrong because the derivitive isn't 0 at those points

C is correct because increasing means that the derivitive is positive, and so therefo since the only hoirontal place in between 1 and 2 is 1.5, it must remain positive throughout and not dip down, C is right

D is wrong then




answer is C
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