What is the slope of the line l described by the equation below? y=-2x+4

Mathematics

1 answer:

Masteriza [31]3 years ago

6 0

Answer:

The slope of the line would be -2.

Step-by-step explanation:

Because the equation is a line, the slope is the same throughout the entire graph on the equation.

Lets let f(x)=y=-2x+4.

f(0) = -2(0) + 4 = 4

f(0)=4

f(1) = -2(1) + 4 = 2

f(1)=2

Use the equation to find slope.

m(slope) = $\frac{2-4}{1-0}$ = $\frac{-2}{1}$ = -2

The slope would be -2.

Or:

Use the equation y = mx + b where m=slope.

In the equation y=-2x+4, m=-2.

The slope is -2.

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For the function y=-1+6 cos(2pi/7(x-5)) what is the minimum value?

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Usually one will differentiate the function to find the minimum/maximum point, but in this case differentiating yields:
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which contains multiple solution if one tries to solve for x when the differentiated form is 0.

I would, though, venture a guess that the minimum value would be (approaching) 5, since the function would be undefined in the vicinity.

If, however, the function is
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Then differentiating and equating to 0 yields:
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$x=5$ or $8.5$

We reject x=5 as it is when it ix the maximum and thus,
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