*Quick Linear equation - Equation of a line - Thanks

[nukeman]

Homework Statement

Determine an equation of a line through -3,5 and 1, -3

so... What i got is

y - 5 = -2(x-(-3) )

So that turns into

y - 5 = -2x + 3 correct?

now i am suppose to simplify, and the answer is

y = -2x -1

how did they get y = -2x -1 from y - 5 =-2x + 3

?? Can anyone please explain the steps they did to get that final answer?

Homework Equations

The Attempt at a Solution

 

[JonF]

y - 5 = -2(x-(-3) ) Does NOT turn into y - 5 = -2x + 3?

Deal with the double negative first, then distribute the -2 to ALL terms it’s multiplied by, so:

y - 5 = -2(x-(-3) ) -> y - 5 = -2(x+3) -> y - 5 = -2x-6 -> y= -2x-1

 

[nukeman]

wow, thanks. That makes much more sense!

ok so y - 5 = -2x-6

now you to get rid of the y - 5, you ad 5 to both sides correct?


y= -2x-1

y - 5 = -2(x-(-3) ) Does NOT turn into y - 5 = -2x + 3?

Deal with the double negative first, then distribute the -2 to ALL terms it’s multiplied by, so:

y - 5 = -2(x-(-3) ) -> y - 5 = -2(x+3) -> y - 5 = -2x-6 -> y= -2x-1

 

[Mark44]

wow, thanks. That makes much more sense!

ok so y - 5 = -2x-6

now you to get rid of the y - 5, you ad 5 to both sides correct?

You're not getting rid of y - 5 - you're just isolating y to get it all by itself. Yes, you add 5 to both sides.

y= -2x-1