Question

How do you find the slope and intercept for `2x-3y=12`?

Answer 1

slope = `2/3 ,` intercept = -4

Explanation:

One form of the equation of a line is y = mx + c , where m represents the gradient (slope) and c , the y-intercept.

Rearrange 2x - 3y = 12 into this form and extract m and c.

hence : - 3y = -2x + 12

divide both sides by - 3

`rArr (cancel(-3)y)/cancel(-3) = (-2x)/(-3) + 12/-3`

`rArr y = 2/3 x - 4`

thus slope =`2/3` and y-intercept = -4