Determine whether each pair of equations are parallel, perpendicular or neither. y+2x=23 y=-2x+11

One way to identify the relative position of 2 lines is to
compare their slopes.

For instance, if 2 lines are
parallel, their slopes must be equal. Or, if 2 lines are perpendicular, the product of
their slopes is -1.

The slope could be identified, writing
the equation in the standard form:

y = mx + n, where m is
the slope and n is the y intercept.

We'll put each given
equation in the standard form. We'll start with the first
one.

We'll isolate y to the left
side:

y = -2x + 23

m1 =
-2

The 2nd equation is written in the standard form,
already:

y=-2x+11

m2 =
-2

Since the slopes m1 = m2 = -2, the lines
are parallel.