Question

How do you find the x and y intercepts for `-2x+3y=6`?

Answer 1

Intercept on `x` axis is `-3` and

intercept on `y` axis is `2`.

Explanation:

For finding `x` and `y` intercepts of `-2x+3y=6`

Let us first put `y=0` (to find intercepts on `x` axis)

or `-2x+0=6` or `x=-3`.

Hence, intercept on `x` axis is `-3`

For intercepts on `y` axis, put `x=0` i.e.

`3y=6` or `y=2`

Hence, intercept on `y` axis is `2`.

The other way is to convert equation in the form `x/a+y/b=1`, where `a` is intercept on `x` axis and `b` is intercept on `y` axis.

As `-2x+3y=6`, dividing by `6` we get

`(-2x)/6+(3y)/6=1` or `x/(-3)+y/2=1`

Hence, `-3` is intercept on `x` axis and `2` is intercept on `y` axis.

graph{-2x+3y=6 [-10, 10, -5, 5]}