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3 years ago

Find the slope of the line that passes through the points shown in the table.

Mathematics

2 answers:

Semenov [28]3 years ago

8 0

Answer:

it would be -2/7

Step-by-step explanation:

Fed [463]3 years ago

4 0

Answer: -2/7
This value is a fraction.

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Work Shown:

The first two rows in the table produce these two points (x1,y1) = (-14,8) and (x2,y2) = (-7,6)

So, x1=-14, y1=8, x2=-7, and y2=6

Plug these four values into the slope formula and simplify
m = (y2 - y1)/(x2 - x1)
m = (6 - 8)/(-7 - (-14))
m = (6 - 8)/(-7 + 14)
m = -2/7

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What is one of the solutions to the following system of equations? y2 x2 = 53 y − x = 5 (−10, −5) (−7, −2) (7, 2) (5, 10).

Aliun [14]

The solution of the system of equation is (-7, -2).

<h2>Given</h2>

The system of the equations;

$\rm y^2 + x^2 = 53 \\\\y -x = 5$

From equation 1

$\rm y -x=5\\\\y = 5+x$

Substitute the value of y in equation 1

$\rm y^2+x^2=53\\\\(5+x)^2+x^2=53\\\\25+x^2+10x+x^2=53\\\\2x^2+10x+25-53=0\\\\2 x^2 + 10x - 28 = 0 \\\\Divide \ by \ 2 \ both \ side \ the \ equation\\\\x^2 + 5x - 14 = 0\\\\x^2-7x+2x-14=0\\\\x(x-7) + 2(x-7) =0\\\\(x-7) \ (x+2)=0\\\\x-7=0 \ \ x = 7\\\\x +2 =0 \ \ x=-2$

The value of x= 2 is rejected because x = 2 not satisfy the equation.

Substitute 2 for the value of x in equation II

y − x = 5

y – 2 = 5

y = 5 +2

y = 7 (x =2, y =7) … Not included in the options

If x = -7

Substitute the value of x = -7 in the equation

$\rm y -x=5\\\\y - (-7)=5\\\\y +7= 5\\\\y = 5-7\\\\y = -2$

Hence, the solution of the system of equation is (-7, -2).

To know more about System of Equation click the link given below.

brainly.com/question/1495351

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