2x + y = -1
y = -2x - 1....the slope here is -2.
A parallel line will have the same slope.
y = mx + b
slope(m) = -2
(0,-2)....x = 0 and y = -2
now we sub and solve for b, the y int
-2 = -2(0) + b
-2 = b
so ur parallel equation is : y = -2x - 2 <==
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so our original equation has a slope of -2
A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we " flip " the slope and change the sign....-2 (or -2/1).....flip the slope and it becomes -1/2.....change the sign...and it becomes 1/2. So our perpendicular line will have a slope of 1/2.
y = mx + b
slope(m) = 1/2
(0,-2)...x = 0 and y = -2
now we sub and find b, the y int
-2 = 1/2(0) + b
-2 = b
so ur perpendicular equation is y = 1/2x - 2 <==