Rewrite the equation in Ax+By = C form. Use integers for A, B, and C. y + 3 = -5(x-2)
First, let's distribute the -5 to x and -2. If we do that, we get: \[-5x-2\] Our new equation is: \[y+3=-5x+2\] We can also subtract 3 from both sides to get: \[y= -5x-1\] Our answer has to be in Ax + By = C form. A, B are coefficients (numbers in front of variables). C is simply a number. Knowing that, we can figure out that: Ax is -5x By is y C is -1 These values will change. In order to get this equation into Ax + By= C, we must simply move Ax to other side. In other words, 5x must be added to both sides. This cancels out the -5x in the right side of the equation. Our new equation is: \[5x + y= -1\] This is your answer. :D
Your whole answer is flawed.
@ags2658 you didn't properly distribute the -5. \(\Huge\bf -5(x-2) \neq -5x -2\)
Yup. Let's try that Distributive Property, again.
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