What is the equation of the line in standard form that passes through the point (-2, -3) and is parallel to the line y = x + 9?

Question

tpaulus · Answer

y+3=x+2
y=x-1
y-x=-1

tpaulus · Answer

Slope = 1
Use point slope form then convert.

anonymous · Answer

Since the line is parallel to the line y=x+9 then they have the same slope 1 ! 
SO the line has an equation like this :
$$y=x+b$$
Now, to find b we have (-2,-2) is from the line , so :
$$-2=-2+b$$
and then :
$$b=0$$
So the equation is :
$$y=x$$

anonymous · Answer

Thank you!

tpaulus · Answer

@Noura11 Your answer doesn't go through the point(-2,-3)

anonymous · Answer

Ah I I have done a mistake !
I should say :
Now, to find b we have (-2,-3) is from the line , so :
−3=−2+b

and then :
b=-3+2=-1

So the equation is :
y=x-1

anonymous · Answer

Ok thanks!

tpaulus · Answer

No problem, simple algebra