Question

What is the slope intercept form of the underlined equation 2x + 8y = 24

Answer 1

y = -
`(1)/(4)` x + 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 the equation

2x + 8y = 24 ( subtract 2x from both sides )

8y = - 2x + 24 ( divide through by 8 )

`(8)/(8)` y =
`(-2)/(8)` x +
`(24)/(8)` , that is

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