Question

find the equation of the line in slope intercept form, that passes through (4,-1) and (6,-2)
can someone help me please :)

Answer 1

Do you know what slope intercept form is?

Answer 2

yes,
when i did it i got
\[y= -\frac{ 1 }{ 2 }x+\frac{ 7 }{ 2 }\]

Answer 3

The slope is right...Checking the y-intercept now...

Answer 4

ok

Answer 5

You should retry to find the y-intercept. It is incorrect.
Start here:
y=mx+b
where m=-1/2
y=-1/2 * x +b
Use one of the points gven to plug in for x and to plug in for y.

Answer 6

Either use (4,-1) or (6,-2) but don't mix and match

Answer 7

i got 1

Answer 8

yes b=1

Answer 9

so if i were to show my work on a homework assignment i would find the slope and then put it in point slope form? or just plug it back into the equation in slope intercept

Answer 10

Either way.

Answer 11

because when i did it in point slope form like my teacher said i did not get one i got 7/2

Answer 12

Then you did it incorrectly.
You found the slope m=-1/2
Plug it in
y-y1=m(x-x1)
Don't forget to distribute
y-y1=mx-mx1

Answer 13

add y1 on both sides
y=mx-mx1+y1

Answer 14

yeah i got it now. and one more question
standard form is ax+by=c right?

Answer 15

Yes.

Answer 16

okay because my book said ax+by+c=0 and my teacher said ax+by=c

Answer 17

Go with what your teacher said. Either one is fine. Both of those forms don't differ a whole a lot.
All my math life, I have prefered the slope-intercept form.

Answer 18

Your teacher will be grading you and it is their preference in what form they want the answer.

Answer 19

okay thank you so much :)