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2 years ago

What in slope-intercept form, can go through the line ( a, 2a) and (-5a, 6a)

Mathematics

2 answers:

Wittaler [7]2 years ago

7 0

Answer:

y = -2/3x + 8/3a

Step-by-step explanation:

Given points

(a, 2a) and (-5a, 6a)

Slope-intercept form

y = mx + b

Slope of the line is

m = (6a - 2a)/( -5a - a) = 4a/(-6a) = - 2/3

The y-intercept is:

2a = -2/3*a + b
b = 2a + 2/3a
b= 8/3a

So the line is:

y = -2/3x + 8/3a

charle [14.2K]2 years ago

7 0

Answer:

y = -2/3 - 8/3a

Step-by-step explanation:

Find the slope using [ y2-y1/x2-x1 ]

6a-2a/-5a-a

4a/-6a

-2/3

Find the y-intercept.

y = mx + b

y = -2/3x + b

2a = -2/3(a) + b

-8/3a = b

y = -2/3 - 8/3a

Best of Luck!

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Select all expressions that are equivalent to 12- 4x

snow_lady [41]

I think it’s just A the rest all come out with -12 after being distributed

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2 years ago

A manager wishes to determine the relationship between the number of miles (in hundreds of miles) the manager's sales representa

Aleksandr [31]

Answer:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

Step-by-step explanation:

For this case we have the following data:

Miles Traveled x: 2,3,10,7,8,15,3,1,11

Sales y :31,33,78,62,65,61,48,55,120

For this case we need to calculate the slope with the following formula:

$m=\frac{S_{xy}}{S_{xx}}$

Where:

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}$

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}$

So we can find the sums like this:

$\sum_{i=1}^n x_i =60$

$\sum_{i=1}^n y_i =553$

$\sum_{i=1}^n x^2_i =582$

$\sum_{i=1}^n y^2_i =39653$

$\sum_{i=1}^n x_i y_i =4329$

With these we can find the sums:

$S_{xx}=\sum_{i=1}^n x^2_i -\frac{(\sum_{i=1}^n x_i)^2}{n}=582-\frac{60^2}{9}=182$

$S_{xy}=\sum_{i=1}^n x_i y_i -\frac{(\sum_{i=1}^n x_i)(\sum_{i=1}^n y_i)}{n}=4329-\frac{60*553}{9}=642.33$

And the slope would be:

$m=\frac{642.33}{182}=3.529$

Nowe we can find the means for x and y like this:

$\bar x= \frac{\sum x_i}{n}=\frac{60}{9}=6.67$

$\bar y= \frac{\sum y_i}{n}=\frac{553}{9}=61.44$

And we can find the intercept using this:

$b=\bar y -m \bar x=61.44-(3.529*6.67)=37.91$

So the line would be given by:

$y=3.529 x +37.91$

We can predict the sales representative travelled 8 miles replacing x =8 and we got:

$y(8) = 3.529*8 + 37.91= 66.142$

And we can predict the sales representative travelled 11 miles replacing x =11 and we got:

$y(11) = 3.529*11 + 37.91= 76.729$

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3 years ago

The royal Opera House Orchestra in London,England,includes 13 musicians who play the viola.The musicians in the viola section ma

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2 years ago

It takes 23 minutes for 6people to paint 6 walls.

Step2247 [10]

It would take 9 people 34.5 minutes to paint 9 walls.

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3 years ago

(1.3 x 10-2) (0.05) = ?

Alik [6]

Answer:

=0.065x10−0.1

Step-by-step explanation:

(1.3x10−2)(0.05)

=(1.3x10+−2)(0.05)

=(1.3x10)(0.05)+(−2)(0.05)

=0.065x10−0.1

7 0

3 years ago

Read 2 more answers