y
=
m
x
+
b
y
=
x
+
5
x
−
y
=
−
5
Explanation:
First, find the slope of the equation using
m
=
y
2
−
y
1
x
2
−
x
1
m
=
1
−
7
−
4
−
2
m
=
1
Second, plug in m (the slope) into the equation
y
=
m
x
+
b
So it becomes
y
=
1
x
+
b
Plug in one of the points into the
x
and
y
values into the equation above and solve for
b
.
So,
(
7
)
=
1
(
2
)
+
b
b
=
5
Finally, plug in the
b
value into the equation to get the standard form equation.
y
=
x
+
5
←
re-arrange
x
−
y
=
−
5
