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3 years ago

CAN SOMEONE PLS HELP MEEEEEEE

Mathematics

1 answer:

k0ka [10]3 years ago

7 0

9514 1404 393

Answer:

6x +y = -6
6x -y = 8
5x +y = 13

Step-by-step explanation:

To rewrite these equations from point-slope form to standard form, you can do the following:

eliminate parentheses
subtract the x-term
subtract the constant on the left
if the coefficient of x is negative, multiply by -1

Of course, any operation you do must be done to both sides of the equation.

1. y -6 = -6(x +2)

y -6 = -6x -12 . . . . . eliminate parentheses

6x +y -6 = -12 . . . . . add 6x

6x +y = -6 . . . . . . . . add 6

2. y +2 = 6(x -1)

y +2 = 6x -6

-6x +y +2 = -6

-6x +y = -8

6x -y = 8 . . . . . . . . multiply by -1

3. y -3 = -5(x -2)

y -3 = -5x +10

5x +y -3 = 10

5x +y = 13

_____

Additional comment

The "standard form" of a linear equation is ax+by=c for integers a, b, c. The leading coefficient (generally, 'a') should be positive, and all coefficients should be mutually prime (have no common factors). That is why we multiply by -1 in problem 2.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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