Question

Change the equation to slope intercept form and identity the slope and y-intercept -8x+2y=6

Answer 1

y = 4x + 3

Explanation:

We are given an equation of a line:
`-8x+2y=6` and we are to change it to slope intercept form.

The standard slope intercept form of an equation of a line is:

`y=mx+c`

So changing the given equation to this form.

`-8x+2y=6`

`2y= 6+8x`

`y= (6)/(2) +(8x)/(2)`

`y=3+4x`

`y=4x+3`

y = 4x + 3 is the slope intercept form of -8x + 2y = 6 where 4 is the slope and 3 is the y-intercept.

Answer 2

The answer is:

`y=4x+3`

The slope is: 4

The y-intercept is: 3

The explanation is shown below:

1. The slope intercept form of the linear equation is:

`y=mx+b`

Where
`m` is the slope and
`b` is the y-intercept.

2. Therefore, you must solve for y, as following:

`-8x+2y=6\\y=(8x+6)/(2)\\y=4x+3`

`m=4\\b=3`