Question

How do you solve this URGENT (50pts)

Answer 1

slope = -
`(1)/(3)`

Step-by-step explanation:

the equation of a line in slope- intercept form is

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

given

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

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

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

with slope m = -
`(1)/(3)`

Answer 2

Step-by-step explanation:

x + 3y = 2

Converting it to slope intercept form:

y = mx + b [where m is slope, b is y-intercept]

Make y the subject:

`\sf \rightarrow 3y = 2 - x`

`\sf \rightarrow 3y = -x + 2`

`\sf \rightarrow y = -(x)/(3) + (2)/(3)`

`\sf \rightarrow y = -(1)/(3) x+ (2)/(3)`

which reveals slope:

`\star \ slope: \sf - (1)/(3)`