Question

Can you please explain this to me step by step?

Answer 1

Given the equation y − 3 = 1/2(x + 6) in point-slope form, identify the equation of the same line in slope-intercept form.

Answer 2

do you know what both forms look like

Answer 3

y1 - y2= m(x - x1)

Answer 4

slope intercept form is

y=mx+c

where m is slope
and c is y intercept

Answer 5

slope intercept, not to confuse her, but it is usually y=mx+b because that is how they write it in textbook's not c

Answer 6

do you have geogebra

Answer 7

No, but this is point slope form so don't we use the formula I posted above?

Answer 8

well first distribute the 1/2 to (x+6)

Answer 9

always remember pemdas

Answer 10

Can you solve it all in one step? I know the answer but how do you get it? :\

Answer 11

sure

Answer 12

\[y-3=1/2(x+6) \]

Answer 13

\[y-3=1/2x\]

Answer 14

my bas it should be y-3=1/2x +3

Answer 15

How does the -3 cancel out or disappear? Since I know it won't remain in the problem for much longer?

Answer 16

Distribute the 1/2, y-3=1/2x-3
Add 3 to both sides, y=1/2x

Answer 17

You divided the 6?

Answer 18

no, 1/2 time 6 equals 3, which is basically dividing

Answer 19

the answer is y=1/2x

Answer 20

In my course it says the answer y= 1/2x + 6 which is why I'm confused...

Answer 21

the only way i could think of that is, if you take the -3 and add to both sides to make that 6, which would make the problem look like this y=1/2x+6, so thats is what you should do

Answer 22

Okay thanks, I think I may understand it :)

Answer 23

alright thanks for the medal

Answer 24

Np :)