Question

If the equation of a line is
4
x
+
4
y
=
1
and the equation of a second line is
x
+
y
=
−
8
. Which of the following is true?
A.
The lines share the same x-intercept.

B.
Both lines intersect at point
(
0
,
−
8
)
.

C.
The lines are perpendicular.

D.
The lines are parallel.

Answer 1

D. The first line simplifies to x + y = 1/4, which has the same slope as x + y = −8, so the lines are parallel (same slope, different intercepts).