Put the equations in slope-intercept form and identify the equations as parallel orperpendicular lines.

slope-intercept form for
3
x
+
y
=
7
:

slope-intercept form for
3
y
=
-
x
-
3
:

are the lines parallel or perpendicular?

a.
y
=
3
x
+
7

b.
y
=
1
3
x
+
1

c.
y
=
-
1
3
x
-
1

d.
y
=
-
7
x
+
3

e. perpendicular
f. parallel

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?