2y-12x=36 How do I find the rate of change

Mathematics

2 answers:

Mamont248 [21]3 years ago

8 0

make it so x and y are on different sides to it becomes y=mx+k

2y=12x + 36

y=6x +18

the rate of change will be 6x

Maslowich3 years ago

6 0

Answer:

The rate of change of the equation is 6.

Step-by-step explanation:

Given : Equation $2y-12x=36$

To find : The rate of change ?

Solution :

In the equation $y=mx+c$ the rate of change is the slope of the equation i.e. m.

Write the equation in general form.

$2y-12x=36$

$2y=12x+36$

$y=\frac{12x+36}{2}$

$y=6x+18$

The value of m is 6.

The rate of change of the equation is 6.

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iren2701 [21]

Answer:

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$2x + 8y = 18(equ \: 1) \\ y = - x + 6 \: \\ y + x = 6 \: (equ \: 2) \\ \\ from \:( equ2) \\ \: x = 6 - y \: (equ \: 3 )\\ sub. \: (equ3) \: in \: (equ2) \\ 2(6 - y )+ 8y = 18 \\ 12 - 2y + 8y = 18 \\ 6y = 18 - 12 \\ 6y = 6 \\ \frac{6y}{6} = \frac{6}{6} \\ y = 1 \\ \\ sub. \: y \: in \: equ3 \\ x = 6 - y \\ x = 6 - 1 \\ x = 5 \\ \\ \\ y = 1 \: \: x = 5$