Question

K we are learning about Linear Equations and Graphs. And I'm doing the Slope-point Form, but I'm kind of having troubles with it. Liek I don't really get how to change the slope point form to the slope intercept one.

Here is an example:

y-5 = -1/2(x+4)
y-5 = -1/2x-2
y-5+5 = -1/2x-2+5
y=-1/2x+3

-I don't get how x+4 turned into x-2. How did that happen?

Answer 1

x+4 did not turn into x-2, it turned into (-1/2)x - 2

you had (-1/2)(x+4)
now distribute the -1/2
to get (-1/2)x - 2

then they added 5 to both sides
for the final anwer of

y = (-1/2)x + 3

Answer 2

y = -0,5(x+4)+5
y = -0,5x - 2 + 5
y = -0,5x + 3

Actually, when you have a negative number before a bracket, you have to change the signs in the bracket.
So because of the -0,5, the X (which is positive) becomes negative and the +4 (wich is positive) becomes also negative.

Answer 3

Ok, thanks to both of u so much:)