Answer: \(x_{1}=-2\) and \(y _{1}=9\)
The formula for point slope form is:
\(y- y_{1} =m(x- x_{1} )\)
In the equation y-9=3(x+2), 9 is equal to \(y_{1}\)
to find \(x_{1}\) we need to do a bit more work.
in the formula, \(x_{1}\) is subtracted from x. In the equation given 2 is added to x. we can rationalize that \(x_{1}\) must have been a negative number, since subtracting a negative number is equivalent to adding a positive number. The equation, before being simplified must have looked similar to this:
y- 9=3(x-(-2))
and was then converted to
y-9=3(x+2)
so \(x_{1}=-2\) and \(y _{1}=9\)
