Question

Two lines are graph on a coordinate plane. The equation of the first line is
y
+
2
x
=
1
and the equation of the second line is
4
x
+
2
y
=
−
6
. Which statement about the two lines is true?


The lines are parallel.


The lines are the same line.


The lines are perpendicular.


Both lines intersect at
(
1
,
−
1
)
.

Answer 1

Rewrite each in slope-intercept form. From y + 2x = 1 ⇒ y = −2x + 1. From 4x + 2y = −6 ⇒ divide by 2: 2x + y = −3 ⇒ y = −2x − 3. Both have slope −2 but different y‑intercepts, so they are distinct parallel lines.