Question

CAN SOMEONE PLS HELP MEEEEEEE

1. Rewrite the equation in Ax+By=C form. Use integers for A, B, and C. y-6=-6(x+2)
2. Rewrite the equation in Ax+By=C form. Use integers for A, B, and C. y+2=6(x-1)
3. Rewrite the equation in Ax+By=C form. Use integers for A, B, and C. y-3=-5(x-2)

Answer 1

9514 1404 393

Answer:

1. 6x +y = -6
2. 6x -y = 8
3. 5x +y = 13

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.

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

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

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

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

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

y +2 = 6x -6

-6x +y +2 = -6

-6x +y = -8

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

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

y -3 = -5x +10

5x +y -3 = 10

5x +y = 13

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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.