Question

What is the slope-intercept form of `x/2 - 4y = 6`?

Answer 1

`y=1/8x-3/2`

Explanation:

`"the equation of a line in "color(blue)"slope-intercept form"` is.

`•color(white)(x)y=mx+b`

`"note that "x/2=1/2x`

`"rearrange "1/2x-4y=6" into this form"`

`"add "4y" to both sides"`

`1/2xcancel(-4y)cancel(+4y)=4y+6`

`rArr1/2x=4y+6`

`"subtract 6 from both sides"`

`1/2x-6=4y`

`"divide all terms by 4"`

`rArr1/8x-3/2=ylarrcolor(blue)"in slope-intercept form"`

Answer 2

`y=1/8x-3/2`

Explanation:

To get rid of the denominator, let's multiply every term by `2`. We get

`x-8y=12`

Next, let's subtract `x` from both sides to get

`-8y=-x+12`

Dividing both sides by `-8`, we get

`y=1/8x-3/2`

This equation is in slope-intercept form, `y=mx+b`, where `m` is the slope and `b` is the y-intercept.

Hope this helps!