Question

Find the x- and y-intercepts of 2x+2y=2.(Enter each intercept in the form (a,b).)

Answer 1

To find the x-intercept, we have to evaluate the expression when y = 0.

`\begin{gathered} 2x+2y=2 \\ 2x+2\cdot0=2 \end{gathered}`

Now, we solve for x.

`2x+0=2`

Then, we divide the equation by 2.

`\begin{gathered} (2x)/(2)=(2)/(2) \\ x=1 \end{gathered}`

This means the x-intercept is (1,0).

To find the y-intercept, we have to evaluate the expression when x = 0.

`2\cdot0+2y=2`

Now, we solve for y this time using the same process as before.

`\begin{gathered} 0+2y=2 \\ (2y)/(2)=(2)/(2) \\ y=1 \end{gathered}`

The y-intercept is (0,1).

Therefore, the x- and y-intercepts are (1,0) and (0,1), respectively.