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.