Question

Y= -1/2x-11 , 16x-8y=-8 Tell whether the lines for each pair of equations are parallel, perpendicular, or neither.

Answer 1

perpendicular

Explanation:

The standard form of equation of a line is expressed as y = mx+c

m is the slope

c is the intercept

For the line Y= -1/2x-11

Compare

mx = -1/2x

m = -1/2

slope = -1/2

For the equation

16x-8y=-8

Divide through by 8

2x - y = -1

- y = -2x-2

y = 2x+2

Compare

mx = 2x

M = 2

Take the product of the slopes

Mm = -1/2 * 2

Mm = -1

Since the product of their slope is -1, hence the two lines are perpendicular