Question

What is the slope and y-intercept of the equation 3(y − 2) + 6(x + 1) − 2 = 0?
slope = -2, y-intercept =
slope = 2, y-intercept =
slope = -2, y-intercept =
slope = 2, y-intercept =
slope = -2, y-intercept =

Answer 1

@kelliegirl33

Answer 2

do you know how to distribute through the parenthesis ?

Answer 3

Nope

Answer 4

ok.....to get rid of the parenthesis, you multiply the number outside of the parenthesis by everything in the parenthesis.
For example :
2(x + 2) is the same as 2 * x + 2 * 2 = 2x + 4
do you understand that ? That is what's called " distributing through the parenthesis.
are you with me so far ?

Answer 5

A little bit

Answer 6

part of your problem is 3(y - 2)...
that is the same as : 3 * y + 3 * -2 = 3y + (-6) or just 3y - 6
understanding so far ?

Answer 7

Little bit lol but go ahead

Answer 8

so far, we have :
3y - 6 + 6(x + 1) - 2 = 0
now we will distribute the 6 through the other parenthesis
3y - 6 + 6x + 6 - 2 = 0 --- combine like terms
3y + 6x - 2 = 0 --- notice that the 6's cancel each other out
3y + 6x = 2

put in y = mx + b form
3y = -6x + 2
y = -2x + 2/3

now in y = mx + b form, m is your slope....so your slope is -2
and in y = mx + b form, the y int is in the b position.....so your y int is 2/3
any questions ?

Answer 9

Nope! I understand now. Thank you!

Answer 10

glad to help :)