Question

i need to know how to find the x and y intercepts and then graph the linear equation for the problem x+y=2

Answer 1

The x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).

Join those two points with a straight line and get the graph.

Step-by-step explanation:

The intercept form of a straight line equation is
`(x)/(a) + (y)/(b) = 1`, where the x-intercept of the line is at (a,0) and the y-intercept will be at (0,b).

So, we have to arrange the equation of a straight line in the intercept form and then we can easily find the x-intercept and y-intercept of the line.

Given equation is x + y = 2

⇒
`(x)/(2) + (y)/(2) = 1`

Therefore, the x-intercept of the straight line is at (2,0) and the y-intercept is at (0,2).

Now, locate the two points as obtained on the graph and join them with a straight line and you will get the graph of the line. (Answer)