Question

PLEASE HELP ;)
Who did it right?

Find the slope of the line parallel to 2x+3y=8

Answer 1

slope = -
`(2)/(3)`

Explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x + 3y = 8 ( subtract 2x from both sides )

3y = - 2x + 8 ( divide all terms by 3 )

y = -
`(2)/(3)` x +
`(8)/(3)` ← in slope- intercept form

with slope m = -
`(2)/(3)`

Parallel lines have equal slopes , thus

slope of parallel line = -
`(2)/(3)`

Answer 2

Brandon

Explanation:

2x + 3y = 8

-2x -2x

3y = -2x + 8

y = (-2/3)x + 8/3

m = (-2/3)

even tho brandon did not divide 8 by 3, you were just supposed to find the slope of the line parallel to that line so for the most part, he is correct for the way he got his answer