Question

Which is the graph of x – y = 1?

Image for option 1

Image for option 2

Image for option 3

Image for option 4

Answer 1

the one that starts from -1 and moves up 1 and to the right 1

Answer 2

The graph in the attached figure

Explanation:

we have

`x-y=1`

This is a linear equation

Isolate the variable y

`y=x-1`

we know that

The slope of the line is positive
`m=1`

The x-intercept is the point
`(1,0)` ----> value of x when the value of y is equal to zero

The y-intercept is the point
`(0,-1)` ----> value of y when the value of x is equal to zero

Plot the intercepts to graph the line

see the attached figure