Answer: [tex] x_{1}=-2 [/tex] and [tex]y _{1}=9 [/tex]
The formula for point slope form is:
[tex]y- y_{1} =m(x- x_{1} )[/tex]
In the equation y-9=3(x+2), 9 is equal to [tex] y_{1} [/tex]
to find [tex] x_{1} [/tex] we need to do a bit more work.
in the formula, [tex] x_{1} [/tex] is subtracted from x. In the equation given 2 is added to x. we can rationalize that [tex] x_{1} [/tex] 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 [tex] x_{1}=-2 [/tex] and [tex]y _{1}=9 [/tex]
