Question

How do you find the slope and intercept of `-2x+3y=21`?

Answer 1

`"slope "=2/3," y-intercept "=7`

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 "-2x+3y=21" into this form"`

`"add 2x to both sides"`

`cancel(-2x)cancel(+2x)+3y=2x+21`

`rArr3y=2x+21`

`"divide all terms by 3"`

`rArry=2/3x+7larrcolor(blue)"in slope-intercept form"`

`"with slope m "=2/3" and y-intercept "=7`