Question

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

Answer 1

Slope is `2/3` , y-intercept at `(0,4)` , x-intercept at `(-6,0)`

Explanation:

`2x -3y = -12 or 3y = 2x + 12 or y= 2/3 x +4`

Comparing with standard equation `y = mx + c` we get

slope as `m=2/3` , y-intercept as `c=4` i.e at `(0,4)`

x-intercept can be found by putting `y=0` in the equation as

`2x= -12 or x= -6` i.e at `(-6,0)`
Slope is `2/3` , y-intercept at `(0,4)` , x-intercept at `(-6,0)`
graph{2x-3y = -12 [-10, 10, -5, 5]} [Ans]