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2 years ago

Write the equation of the line that passes through the given points (9,4) and (2,13)

Mathematics

1 answer:

iris [78.8K]2 years ago

3 0

Answer:

y = -9 / 7x + 109 / 7

Step-by-step explanation:

To find the equation of any line, you must find the slope and y-intercept (when writing in slope-intercept form). In this case, we can find both of these values by using the two coordinate pairs that are given:

Slope - the change in y over the change in x

9 / -7 = -9 / 7
slope = -9 / 7
y-intercept - when x = 0

Right now, since we have the slope, we know the equation will look like this: y = -9 / 7x + b, b is what we are trying to find, the y-intercept. To find b, we can substitute a given coordinate pair that we know will fit this line and then solve:

13 = -9 / 7 x 2 + b
13 = -18 / 7 + b
91 / 7 + 18 / 7 = b
109 / 7 = b

After finding both the slope and y-intercept, we can now combine them together to form the equation of the line:

y = -9 / 7x + 109 / 7

Hope this helps!!

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Step-by-step explanation:

Previous concepts

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Where $\mu=114.8$ and $\sigma=13.1$

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$P(X>140)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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