Question

Question #2214c

Answer 1

`y=4x-6`

Explanation:

You want the equation to be `y="m"x+"c"`

Move the y over to be positive:

`4x=6+y`

Now put the 6 on the other side:

`4x-6=y`

Now re-write to have `y=`

`y=4x-6`

Answer 2

`y=4x-6`

Explanation:

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

`•color(white)(x)y=mx+b`

`"where m is the slope and b the y-intercept"`

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

`"add y to both sides"`

`4xcancel(-y)cancel(+y)=6+y`

`rArr4x=6+y`

`"subtract 6 from both sides"`

`4x-6=cancel(6)cancel(-6)+y`

`rArr4x-6=y`

`rArry=4x-6larrcolor(red)" in slope-intercept form"`