could you please check this answer for me and correct. thanks

Question

given equation point slope form linear equation to use to do question. y-3 = 3(x+1)
question rewrite this equation in standard form
y- 3 + 3 = 3x - 3x +3 + 3
-3x+ y = 6 collect all variables on one side and constants on other for standard form.

next question said, what is the x intercept of this line? would it be talking about -1 from original equation or -3x + y = 6
-3x = y(0) = 6
x = -2 x inter is -2
thanks for your help. ann

Answer 1

-3x + y = 6 is correct, but we usually start with a positive x term, so
3x - y = -6

for the x-intercept, let y = 0 , (you are on the x-axis)
3x - 0 = -6
x = -2

the x-intercept is -2

yes, you were right.

Answer 2

Reiny, thank you very much for your help. ann