Question

Are the following Parallel, Perpendicular, or neither: y = 2x - 5 and -x + 2y = -5

Answer 1

two lines are parallel if their slope is equal

equation of line is

y=mx+c

where m=slope

for y=2x-5

m=2

for -x+2y=-5

2y=-5+x

y=-5/2+x/2

m=1/2

lines are nor parallel becuase m (slope) is not equal

now we will test for perpendicularity

perpendicular lines have slopes that are reciprocal of each other

first line , m=2

second line, m=1/2

2 and 1/2 are reciprocals

therefore, the lines are perpendicular