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liberstina [14]
3 years ago
7

Use the slope formula to determine the equation of the line (2,.75) and (4,.25)

Mathematics
1 answer:
guajiro [1.7K]3 years ago
6 0

Answer:

y=-0.25x+1.25

Step-by-step explanation:

hope this helps u

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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
2 years ago
Read 2 more answers
If y = kx, what is the value of x if y = 0.33 and k = 1/4? A) 0.08 B) 0.33 C) 0.50 D) 1.32
Vladimir79 [104]
<span>y = kx
x = y/k if y = 0.33 a</span><span>nd k = 1/4
x = 0.33/0.25
x = 1.32

answer
</span><span>D) 1.32</span>
7 0
2 years ago
Read 2 more answers
Suzy plants 4 saplings in a row in her garden the distance between two adjacent saplings in 3/4 meters find the distance between
Luba_88 [7]

Answer:

The answer is 3 meters.

Step-by-step explanation:

Suzy has 4 saplings the distance between two of the is 3/4

So if the distance from one to another is 3/4 then you have to do 3/4 (.75) times 4. Giving you the answer of 3 meters.

4 0
3 years ago
Read 2 more answers
A) Factorise 2x² - 9x - 5 (x-5)(2x+1) (2) <br>b) Hence, simplify fully 2x^2- 9x - 5 3x – 15x (2) ​
Lyrx [107]

Answer:

Step-by-step explanation:

<u><em>b).</em></u>

2x² - 9x - 5 = ( x - 5 )( 2x + 1 )

3x² - 15x = 3x ( x - 5 )

\frac{(x-5)(2x+1)}{3x(x-5)} = \frac{2x+1}{3x}

8 0
2 years ago
A triangle has the coordinates of A (1,2), B (4,6), and C (4,-3). If the triangle is translated 2 units right, what are the new
yaroslaw [1]

A'(3, 2 ), B'(6, 6 ),C'(6, - 3 )

A translation of 2 units right is equivalent to adding 2 to the x- coordinate with no change to the y- coordinate.

A(1, 2 ) → A'(1 + 2, 2 ) → A'(3, 2 )

B(4, 6 ) → B'( 4 + 2, 6 ) → B'(6, 6 )

C(4, - 3 ) → B'(4 + 2, - 3 ) → B'(6, - 3 )


8 0
3 years ago
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