Question

How can I solve and graph x-y > 1​

Answer 1

Answer:

 Please read the explanation.

Explanation:

We are given the equation:  x − y = 1

How do we graph this linear equation ?

We have  x − y = 1

The given equation can be reduced to a more simpler form.  Subtract  x  from both sides of the equation:

⇒ x − y − x = 1 − x

⇒ x − y − x = 1 − x

⇒ − y = 1 − x

Multiply both sides of the equation by  ( − 1 )  

⇒ − y ⋅ ( − 1 ) = ( 1 − x ) ( − 1 )

⇒ y = x − 1

Now, we have the equation in Slope-Intercept Form:

y = m x + b , where  m  is the Slope and  b  is the y-intercept.

Hence,

Slope :  1

y-intercept :  ( 0 , − 1 )

The x-intercept is where the graph crosses the x-axis

Set  y = 0  to find the x-intercept:

⇒ x − 1 = 0

Add  1  to both sides of the equation:  

⇒ x − 1 + 1 = 0 + 1

 ⇒ x − 1 + 1 = 0+ 1  

⇒ x = 1

Hence,

( 1 , 0 )  is the x-intercept.

Plot the points x-intercept and intercept on the graph.

Join the two points to get the straight line.

This is the graph of the linear equation.