Answer: slope
=
−
1
3
y-intercept
=
2
Explanation:
the equation of a line in
slope-intercept form
is.
∙
x
y
=
m
x
+
b
where m is the slope and b the y-intercept
rearrange
x
+
3
y
=
6
into this form
subtract x from both sides
x
−
x
+
3
y
=
6
−
x
⇒
3
y
=
−
x
+
6
divide all terms by 3
⇒
y
=
−
1
3
x
+
2
←
in slope-intercept form
⇒
slope
=
−
1
3
and y-intercept
=
2
graph{-1/3x+2 [-10, 10, -5, 5]}
Step-by-step explanation: Isolate the variable by dividing each side by factors that don't contain the variable.
X=Y
/2+ 5/2
