Question

Write the equation 2x - 3y = 6 in slope-intercept form.

Answer 1

Hi welcome to Openstudy!

slope intercept form is y=mx + b, where m is the slope and be is the y-intercept.

so we have to evaluate the given equation in terms of y.

Answer 2

first thing you have to do is to subtract both sides by 2x. can you do that for me?

Answer 3

3y=6-2x

Answer 4

right :) now divide both sides by 3

Answer 5

y=2-2x?

Answer 6

almost right..
you forgot to divide 2x by 3

Answer 7

so the equation will be \(y=2-\frac{2x}{3}\)
let's rearrange it in terms of y=mx+b
the final equation will be \(y=-\frac{2x}{3 }+2\)

Answer 8

any confusions??

Answer 9

Well the answer choice says that exactly except its minus 2 at the end? or the other option is plus 3 at the end

Answer 10

Thank you!!

Answer 11

oh yeah, we should divide both sides by negative 3 and not positive 3. sorry :/