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3 years ago

What is the equation of the line that is parallel to the line y = - 1/3x + 4 and passes through the point (6, 5)?

Mathematics

1 answer:

Lostsunrise [7]3 years ago

7 0

Answer:

$y=-\frac{1}{3}x+7$

Step-by-step explanation:

we know that

If two lines are parallel then their slopes are equal

The equation of the given line is

$y=-\frac{1}{3}x+4$

the slope is $m=-\frac{1}{3}$

the slope of the parallel line to the given line is also $m=-\frac{1}{3}$

Find the equation of the line that is parallel to the given line and passes through the point (6, 5)

we have

$m=-\frac{1}{3}$

$point\ (6,5)$

The equation of the line in point slope form is

$y-y1=m(x-x1)$

substitute

$y-5=-\frac{1}{3}(x-6)$

Convert to slope intercept form

$y=mx+b$

isolate the variable y

$y-5=-\frac{1}{3}x+2$

$y=-\frac{1}{3}x+2+5$

$y=-\frac{1}{3}x+7$

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Answer:

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Step-by-step explanation:

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This is the explanation:

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3 years ago

Write an equation for the line that is parallel to the given line and passes through the given point. Y=x+8;(2,16)

Alenkasestr [34]

Y = x + 8....the slope here is 1. A parallel line will have the same slope.

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slope(m) = 1
(2,16)....x = 2 and y = 16
now we sub into the formula and find b, the y int
16 = 1(2) + b
16 = 2 + b
16 - 2 = b
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COMPLETE QUESTION:

Find some means. Suppose that X is a random variable with mean 30 and standard deviation 4. Also suppose that Y is a random variable with mean 50 and standard deviation 8. Find the mean of the random variable Z for each of the following cases. Be sure to show your work.

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Step-by-step explanation:

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