The slope-intercept form is
y
=
m
x
+
b
y
=
m
x
+
b
, where
m
m
is the slope and
b
b
is the y-intercept.
y
=
m
x
+
b
y
=
m
x
+
b
Subtract
3
x
3
x
from both sides of the equation.
5
y
=
7
−
3
x
5
y
=
7
-
3
x
Divide each term by
5
5
and simplify.
Tap for more steps...
y
=
7
5
−
3
x
5
y
=
7
5
-
3
x
5
Reorder
7
5
7
5
and
−
3
x
5
-
3
x
5
.
y
=
−
3
x
5
+
7
5
y
=
-
3
x
5
+
7
5
Rewrite in slope-intercept form.
y
=
−
3
5
x
+
7
5
y
=
-
3
5
x
+
7
5
Using the slope-intercept form, the slope is
−
3
5
-
3
5
.
m
=
−
3
5
m
=
-
3
5
All lines that are parallel to
y
=
−
3
x
5
+
7
5
y
=
-
3
x
5
+
7
5
have the same slope of
−
3
5
-
3
5
.
m
parallel
=
−
3
5
m
parallel
=
-
3
5
