Question

What is an equation of the line that passes through the point (3, 6) and has a slope of -3/4?

Answer 1

do you know point slope formula?

Answer 2

yes its y-y1=m(x-x1) right?

Answer 3

so what will you replace m with?

Answer 4

-3/4

Answer 5

great
what about x1?

Answer 6

3

Answer 7

and lastly y1?

Answer 8

6

Answer 9

great

Answer 10

when you make all of those replacements in that equation you gave above
you have found the equation of the line in point slope form

Answer 11

i need it in slope intercept form so how do I convert it?

Answer 12

well if you have something writen like this y-y1=m(x-x1)
and you want y=mx+b

then you will need to get the constant y1 on the other side so adding y_1 on both sides gives
y=m(x-x1)+y1
now distribute the m like so
y=mx-mx1+y1

y=mx+(-mx1+y1)

where m is the slope
and the y-intercept is -mx1+y1

Answer 13

if you don't like that because you have trouble with there not being actual number there
you can write the equation you already have
and i can help you get to that form

Answer 14

for the point slope form i got y= 5 and 1/4x + 8 and 1/4

Answer 15

what do the and's symbolize

you should have something in this form y-y1=m(x-x1)

Answer 16

you gave me the numbers to put in

Answer 17

you said m was -3/4
x1 was 3
y1 was 6

Answer 18

\[y-6=\frac{-3}{4}(x-3)\]

Answer 19

in my general example
follow the steps I took to put into y=mx+b form

add the y1 on both sides (in this case add the 6 on both sides)

Answer 20

next i distribute the m to the terms in the parenthesis
so in this case you multiply -3/4 to both terms in the parenthesis

Answer 21

can you do this and show me what you get

Answer 22

i get -3/4x+6/3/4

Answer 23

so you did this
\[y=\frac{-3}{4}(x-3)+6\]
\[y=\frac{-3}{4}x+\frac{3}{4}(3)+6\]

Answer 24

the only thing left to do is do 3/4(3)+6

Answer 25

what is 3 times 3/4?

Answer 26

2/1/4

Answer 27

ok or 9/4

Answer 28

then what is 9/4+6?

Answer 29

8/1/4

Answer 30

ok or 33/4

Answer 31

so remember we just simplify the y-intercept part
which was 3*3/4+6

Answer 32

so all together it would be y=-3/4+33/4?

Answer 33

don't forget the x that is suppose to be next to the -3/4

Answer 34

awww... thanks rob

Answer 35

A medal for @myininaya's patience.

Answer 36

ok thank you so much you were a big help!!

Answer 37

thanks @Its_ian2000

Answer 38

i try