Question

How do you find the slope and intercept of `2x + 3y = 6`?

Answer 1

`"slope "=-2/3," 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 "2x+3y=6" into this form"`

`"subtract "2x" from both sides"`

`rArr3y=-2x+6`

`"divide all terms by 3"`

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

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