Question

Identify the points (X1,y1)from the equation y-9=3(x+2)

Answer 1

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 $y _{1}=9$