Question

How do I find the slope to this equation ?
2х-Зу = 12

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 = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y =
`(2)/(3)` x - 4 ← in slope- intercept form

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

Answer 2

2/3

Explanation:

Slope of the equation is determined as per slope-intercept form:

• y = mx +b

Bring the given equation to mentioned form:

• 2x - 3y = 12 ⇒ make y the subject
• 3y = 2x - 12 ⇒ divide all terms by 3
• y = 2/3x - 4 ⇒ this is the slope-intercept form

Since m = 2/3, it is the slope of the given equation