Question

Put these into slope intercept form

x + 3y ≤ 8
x + y ≥ 2

Answer 1

Slope intercept form is y = mx + b

[a] x + 3y ≤ 8 becomes y ≤ -
`(1)/(3)`x +
`(8)/(3)`

We subtract x from both sides of the equation.

Then we divide both sides of the equation by three.

x + 3y ≤ 8

3y ≤ -x + 8

y ≤ -
`(1)/(3)`x +
`(8)/(3)`

[b] x + y ≥ 2 becomes y ≥ -x + 2

We subtract x from both sides of the equation.

x + y ≥ 2

y ≥ -x + 2