Question

tell whether the lines for each pair of equations are parallel perpendicular or neither
y=-2x+4
-5x+10y=5


tell whether the lines for each pair of equations are parallel perpendicular or neither
y=-1/4x+10
-2x+8y=6

Answer 1

y = -2x + 4......slope is -2 and y int is 4
-5x + 10y = 5
10y = 5x + 5
y = 1/2x + 1/2...slope is 1/2 and y int is 1/2

the answer to this one is perpendicular because perpendicular lines have negative reciprocal slopes...and a -2 and  1/2 are negative reciprocals of each other.
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y = -1/4x + 10...slope here is -1/4...y int is 10
-2x + 8y = 6
8y = 2x + 6
y = 1/4x + 3/4...slope here is 1/4...y int is 3/4

the answer to this is neither. Because u have different slopes and their not negative reciprocals.