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qaws [65]
3 years ago
13

Choose the equation that represents a line that passes through points (−1, 2) and (3, 1).

Mathematics
2 answers:
Firlakuza [10]3 years ago
8 0

Answer:

the equation of this line is y = (-1/4)x + 7/4

Step-by-step explanation:

As we go from (−1, 2) to (3, 1), x increases by 4 and y decreases by 1.  Thus, the slope of the line connecting these points is m = rise / run = -1/4.

Find the equation of this line in slope-intercept form, y = mx + b.  Substitute 1 for y and 3 for x and calculate b:  

1 = (-1/4)(3) + b, or

4/4 = -3/4 + b, or

7/4 = b.

Then the equation of this line is y = (-1/4)x + 7/4.

3241004551 [841]3 years ago
5 0

You did not provide us with equations to select.

Find the slope m.

m = (1 - 2)/(3 - (-1))

m = -1/(3 + 1)

m = -1/4

Use the slope and one of the points and plug into the point-slope formula.

y - 1 = (-1/4)(x - 3)

Isolate y.

y - 1 = (-1/4)x + (3/4)

y = (-1/4)x + (3/4) + 1

y = (-1/4)x + (7/4)

Did you follow?

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1/4 miles to a shoe store. Then you walk another 2/5 miles to a music store. How many miles have you walked in all?
zavuch27 [327]

Answer:

\frac{13}{20}

Step-by-step explanation:

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First, we need to make the demoninators the same so we times 4 by 5 and whatever we do to the bottom, we do to the top, and 5 by 4.

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2 years ago
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LenaWriter [7]

Answer:

\hat y = -3.34+ 1.07(91) = 94.03

Step-by-step explanation:

Data given

n=20 represent the sampel size

\bar X = 100.39 represent the sample mean for the independent variable (IQ score of the husband)

\bar y = 103.6 represent the sample mean for the dependent variable.

r =0.925 represent the correlation coefficient

Solution to the problem

The general expression for a linear model is given by:

y = \beta_0 + \beta_1 x

Where \beta_0 is the intercept and \beta_1 the slope

For this case we have a linear model given by the following expression:

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Where -3.34 is the intercept and 1.07 the slope. In order to find the best predicted value when X = 91 we just need to replace into the equation the value of 91 and we got this:

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2 years ago
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SSSSS [86.1K]

Answer:

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Step-by-step explanation:

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