Question

How do you find the slope and y-intercept given `x+3y = -6`?

Answer 1

Convert the equation to the `y = mx + b` form

Explanation:

in the `y = mx +b` for

m - = the slope think m mountain ski slope.
b = the y intercept think b beginning where x = 0

Move the x to the right side of the equation.

`x - x + 3y = -x + -6` The result is

`3y = - x + -6`

Divide both sides by 3 to change 3y to 1y

`3y/3 = -1x/3 + -6/3` This gives

`y = - 1/3 x + -2`

m the slope = `-1/3`

b the y intercept = `-2`

Answer 2

`m=-1/3`

y-int = -2

Explanation:

Slope intercept form is:

`y=color(red)(m)x+color(blue)(b)`

`color(red)(m) =`slope
`color(blue)(b) =`y-int

`x+3y = -6`

`3y =-x -6`

`y =color(red)(-1/3)x color(blue)(-2)`

`m=-1/3`

y-int = -2