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3 years ago

What is the correct equation for the line in slope-intercept form?

Mathematics

1 answer:

vladimir1956 [14]3 years ago

5 0

Answer:

y=-5x+35

Step-by-step explanation:

The equation for a line in slope intercept form is y=mx+b, where m is the slope of the line and b is the y intercept, or where the line meets the y axis.

First, we should calculate the slope of the line. The slope of any line is rise over run. We can select any two points- I will select (6,5) and (4, 15).

We see that the rise is 10 units, because 15-5=10, and the run is -2 units, because 4-6=-2. We have rise over run which is 10/-2, or -5.

So, we find that the m value is equal to -5.

The y intercept is easier to find, it is just where the line meets the y axis. The lines meets the y axis at the point (0,35) so the y intercept is 35.

Thus we have the equation of the line is y=-5x+35.

Hope this helps!

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Answer:

(a)

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(b)

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Step-by-step explanation:

(a)

Case 1

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Case 2

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(b)

The expected numbers of flips needed would be

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Therefore, suppose that $p = 0.5$ , then the expected number of flips needed would be 1/0.5 = 2.

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Answer:

Step-by-step explanation:

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