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3 years ago

What is the equation of the line represented by the table below? Х-2,-1,0,1,2 y16,11,6,1,-4

Mathematics

1 answer:

pashok25 [27]3 years ago

5 0

Answer:

y = -5x + 6

Step-by-step explanation:

General equation of a line : y = mx + c......where c is intercept

To find m pick any two points..

(-2, 16) and (-1, 11)

Using (y - y¹) / (x - x¹)

(11 - 16) / (-1 - [-2]) = -5 / 1

= -5

To find c sub with any point for (x, y) and m

using (2, -4)

y = mx + c

-4 = -5(2) + c

-4 = -10 + c

6 = c

Input the values of m and c in the general equation without x and y

; y = -5x + 6

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Answer:

20. x = 5, y = -2

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Step-by-step explanation:

20. Opposite sides in the parallelogram are congruent, so

$2y+18=3x-1\\ \\6x-3=17-5y$

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$\left\{\begin{array}{l}2y-3x=-19\\ \\6x+5y=20\end{array}\right.$

Multiply the first equation by 2 and add two equations:

$2(2y-3x)+6x+5y=2\cdot (-19)+20\\ \\4y-6x+6x+5y=-38+20\\ \\9y=-18\\ \\y=-2$

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$\left\{\begin{array}{l}11x-10y=1\\ \\17x-y=175\end{array}\right.$

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$y=17x-175$

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Substitute it into the second equation:

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