Question

Put the following equation of a line into slope-intercept form, simplifying all fractions.

6x + 4y = 16

Answer 1

y = -
`(3)/(2)` x + 4

Explanation:

the equation of a line in slope- intercept form is

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

given

6x + 4y = 16 ( subtract 6x from both sides )

4y = - 6x + 16 ( divide through by 4 )

y =
`(-6)/(4)` x +
`(16)/(4)` , that is

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