Question

Which ordered pair is a solution of the equation y+5=2 (x+1)

Answer 1

Plug in the givens, and if the answer comes out equal that is the correct one. Make sure you plug in the numbers with their respective variables.

For example, with (5, 10), you substitute in the x-value 5 to the variable x and the y-value 10 to the variable y.

y + 5 = 2(x + 1)
10 + 5 = 2(5 + 1)
15 = 12

15 does not equal 12, so it is incorrect.

Answer 2

This is in point slope form.

Basically, point-slope form is:

y - $y_{1}$ = m(x - $x_{1}$)

With $y_{1}$ and $x_{1}$ being points on the line.

So therefore, in this equation, you see 5 and 1 in those places.

However, since you're subtracting $x_{1}$ and $y_{1}$, and in the equation you seem to be adding 5 and adding 1, this means that the points must be -5 and -1 for it to work.

So therefore:

(-1, -5) is a solution of the equation y + 5 = 2(x + 1)