Question

A line has a slope of 1 and passes through the point (6, 3). What is its equation in slope-intercept form?

Answer 1

Well... if you have a slope m and the line passes through the point (a,b)
then the line has the equation...
\[\huge y = \color{blue}m(x-a) + b\]

Answer 2

Then you would have y=1x-6+3

Answer 3

Actually, yes :)
You can do away with the 1...
And you'll have...?

Answer 4

y=x-6+3

Answer 5

Come on, you can still do stuff with that...
\[\large y = x-6+3\\ \large y = x \boxed{\color{red}{-6+3}}\]

Answer 6

y=x-3

Answer 7

Yes, perfect :)

Answer 8

Thank you so much:)

Answer 9

No problem :)
I'm TJ, welcome to OpenStudy...
Stick around, see if you can help with some other guys with questions :D

Answer 10

okay one last question The points (0, 8) and (-20, 12) fall on a particular line. What is its equation in slope-intercept form?

Answer 11

Okay, you need a slope here... If you have two points, (a,b) and (c,d)
the slope is given by this formula...
\[\Large m = \frac{d-b}{c-a}\]
So, can you get the slope?

Answer 12

1/-5

Answer 13

okay...
\[\Large m = -\frac15\]
That's very good...
Now you use the formula again... we have a slope now...
\[\LARGE y = m(x-a) + b\]
As for your point, you can use any one of the two points you have been given, it doesn't matter...

Answer 14

okay so \[y=1/-5(x-0)+8\]

Answer 15

Yeah, careful...I know you have the correct idea... let me just rewrite it for you...
\[\Large y = -\frac15(x-0) + 8\]

Answer 16

So the final product would be \[y=-1/5x-8\]

Answer 17

I mean +8

Answer 18

Okay, I just hope you meant this...
\[\LARGE y = -\frac15x + 8 \]
It seems you have it down, good job :)