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3 years ago

A linear function is graphed below.

Mathematics

2 answers:

AnnyKZ [126]3 years ago

8 0

Answer:

Step-by-step explanation:

find the slope m by using the slope formula

m = (y2 - y1) / (x2 - x1)

Point1 = ( -1,4) where it takes the form (x1,y1)

Point2 =(5, -5) where it takes the form (x2,y2)

notice the form is important

m = (-5 -4) / (5 - (-1))

m = -9 / ( 5 +1 )

m = -9 / 6

m = - 3/2

Evgen [1.6K]3 years ago

4 0

Answer:

$-1\frac{1}{2}$

Step-by-step explanation:

We have two coordinate points and are asked to find a slope.

When finding slope, we can use the formula listed :

$\frac{y^2-y^1}{x^2-x^1}}$

To understand what the variables are, you can take this :

$(x^1,y^1)$

$(x^2,y^2)$

Substitute the points :

$(-1,4)$

$(5,-5)$

Now substitute it into the formula :

$\frac{-5-4}{5-(-1)}$

$\frac{-3}{2}$

$-1\frac{1}{2}$

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The table below represents a linear function in the equation represents a function. table numbers are X: -1,0,1. f(x): -3,0,3. G

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A)
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To find the slope of f(x) we pick two points on the function and use the slope formula. Each point can be written (x, f(x) ) so we are given three points in the table. These are: (-1, -3) , (0,0) and (1,3). We can also refer to the points as (x,y). We call one of the points $( x_{1} , y_{1} )$ and another $( x_{2} , y_{2} )$ . It doesn't matter which two points we use, we will always get the same slope. I suggest we use (0,0) as one of the points since zeros are easy to work with.

Let's pick as follows:
$( x_{1} , y_{1} )= (0.0)$
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The slope formula is: $m= \frac{y_{2} - y_{1} }{ x_{2}- x_{1} }$
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The equation of a line is y=mx+b where m is the slope and b is the y intercept. Since g(x) is given in this form, the number in front of the x is the slope and the number by itself is the y-intercept.

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From the work in part a we know the y-intercept of g(x) is 2.

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The y-intercept is the y-coordinate of the point where the line crosses the y-axis. This point will always have an x-coordinate of 0 which is why we need only identify the y-coordinate. Since you are given the point (0,0) which has an x-coordinate of 0 this must be the point where the line crosses the y-axis. Since the point also has a y-coordinate of 0, it's y-intercept is 0

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3 years ago

Suppose the line of best fit is being found for some data points that have an r-value of 0.657. If the standard deviation of the

oksian1 [2.3K]

We are given a line with the following data:

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b = 2.66078, round off to three decimal places:

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