Question

How do you find the slope and intercept of `3x – y = –2`?

Answer 1

`"slope "=3," y-intercept "=2`

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 "3x-y=-2" into this form"`

`"add "y" to both sides"`

`3xcancel(-y)cancel(+y)=y-2`

`rArr3x=y-2`

`"add 2 to both sides"`

`rArr3x+2=ylarrcolor(blue)"in slope-intercept form"`

`"with slope "=3" and y-intercept "=2`