(0 is θ)
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Answer:
see explanation
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers )
given
y + 6 = (x - 4)
Multiply through by 2 to eliminate the fraction
2y + 12 = 3(x - 4) ← distribute
2y + 12 = 3x - 12 ( subtract 2y from both sides )
12 = 3x - 2y - 12 ( add 12 to both sides )
24 = 3x - 2y, that is
3x - 2y = 24 ← in standard form
To solve for , we need to isolate it on one side of the equation.
Take the square root of both sides, making sure to use both positive and negative roots.
cannot be simplified, so we'll leave it as-is.
Add to both sides to fully isolate
.
Expand the solution by making two solutions, one where is positive and one where it's negative.