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.
