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`