Question

Put the following equation of a Lin slope-intercept form, simplifying all fractions 6x+4y=4

Answer 1

The slope-intercept form is given by:

`y=mx+b`

Therefore, to find this form, we need to solve for y the given equation:

`6x+4y=4`

Subtract both sides 6x:

`6x-6x+4y=4-6x`
`4y=4-6x`

Now, divide both sides by 4:

`(4y)/(4)=(4-6x)/(4)`

Simplify the expression:

`y=(4)/(4)-(6x)/(4)`
`y=1-(3x)/(2)`

We can rewrite the equation as:

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

Where -3/2 represents the slope and 1 represents the y-intercept.