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

Question

asked May 7, 2023 712 views

1 Answer

Shamse Alam · Answer 1 · 2023-05-14T01:18:21+0000

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.

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).