*the answer has to be a fraction* Thank you if u answer! will give brainliest

What is the equation for the linear model in the scatter plot obtained by choosing the two points closest to the line?

HACTEHA [7]

Answer:

Option C is the answer.

Step-by-step explanation:

To find the equation of the straight line equation i.e, we must be given with the two points $\left (x_{1},y_{1} \right )$ and $\left (x_{2},y_{2}\right )$

Since from the graph the two points closest to the line are $\left ( 10,36 \right )$ and $\left ( 22,12 \right ).$

Equation of line with two points closest to the line :

$y-y_{1}=m\cdot \left ( x-x_{1} \right )$

where m is the slope.

First we find the slope(m)= $\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{12-36}{22-10}$

on simplify we get, $m=-2$ .

Now, to find the equation of the line: $y-y_{1}=m\cdot \left ( x-x_{1} \right )$

$y-36=\left ( -2 \right )\cdot \left ( x-10 \right )$

Apply distributive property on right hand side, we get

$y-36=-2\cdot x+20$

Adding both sides by 36, we get

$y=-2x+20+36$

$y=-2x+56$ .

The equation for the linear model in the scatter plot obtained by the two closest point $\left ( 10,36 \right ) and \left ( 22,12 \right )$ closest to the line is,

$y=-2x+56$

7 0

3 years ago

Read 2 more answers

The lengths of the sides of a triangle are 5, 12, and 13. What is the length of the altitude drawn to the side with length equal

mario62 [17]

Answer: using A= bh/2 THe height is 9.23

Step-by-step explanation: First, with the Right Angle at the bottom, usr the sides to compute the area: 12*5=60

THen Imagine the side=13 as the base, so you have b=13 for the formula

use the formula A= bh/2

60 = 13h/2 ==> 2(60) =13h --> 120/13 = h

h = 9.23

5 0

3 years ago

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Please help! This assignment is due soon! (In The photo)

eimsori [14]

Answer

Elena must have substracted 1/2x from both sides of the equation.

Lin must have multiplied both sides of the equation by 2

Explanation

The equation given is

$\frac{1}{2}x+3=\frac{7}{2}x+5$

For Elena to have arrived at

$3=\frac{7}{2}x-\frac{1}{2}x+5$

Then Elena must have substracted 1/2x from both sides of the equation.

That is;

$\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Substracting }\frac{1}{2}x\text{ from both sides of the equation will give Elena first step} \\ \frac{1}{2}x+3-\frac{1}{2}x=\frac{7}{2}x+5-\frac{1}{2}x \\ 3=\frac{7}{2}x-\frac{1}{2}x+5 \end{gathered}$

For Lin to have arrived at

$x+6=7x+10$

It shows Lin must have multiplied both sides of the equation by 2

That is;

$\begin{gathered} \frac{1}{2}x+3=\frac{7}{2}x+5 \\ \text{Multiply both sides of the equation by the lowest common mutiple } \\ \text{of the denominator which is 2.} \\ \frac{1}{2}x(2)+3(2)=\frac{7}{2}x(2)+5(2) \\ x+6=7x+10 \end{gathered}$

4 0

1 year ago

Variable y varies directly with variable x, and y = 6 when x = 9.

lesantik [10]

X and y are proportional hence when y is multiplied by a number, x is multiplied by the same number.

18=6*3 hence when y=18,x=9*3=27

x=27

5 0

3 years ago

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CAN SOMEONE HELP ME WHAT IS 18*29

Llana [10]

Answer: if it's 18 times 29 then it's 522. If it's 18 to the power of 29 it's 2.52873108 times 10^36 (decimal form)

Step-by-step explanation:

8 0

3 years ago

*the answer has to be a fraction* Thank you if u answer! will give brainliest ​

the answer has to be a fraction Thank you if u answer! will give brainliest