Question

How do you find the intercepts for `2x + y = 2`?

Answer 1

Substitute `x=0` into the equation and solve to find the intercept `(0, 2)` with the `y` axis.

Substitute `y=0` into the equation and solve to find the intercept `(1, 0)` with the `x` axis.

Explanation:

The intercept with the `y` axis will be where `x=0`, so substitute `x=0` into the equation to get `y=2`. So the intercept with the `y` axis is at `(0, 2)`.

The intercept with the `x` axis will be where `y=0`, so substitute `y=0` into the equation to get `2x = 2`, hence `x=1`. So the intercept with the `x` axis is at `(1, 0)`.

graph{2x+y = 2 [-4.71, 5.29, -1.34, 3.66]}