Question

Is y = 4x + 52x+8y=16parallel, perpendicular, or neither

Answer 1

y= 4x+5

Slope= 4

2x+8y=16

First, express the second equation in slope-intercept form:

y=mx+b

Where ;

m= slope

b= y-intercept

So, we have to solve for y:

8y=-2x+16

y= (-2x+16)/8

y= -1/4x+2

Slope = -1/4

So, both slopes are negative reciprocal of each other:

4 , -1/4

Perpendicular lines have negative reciprocal slopes.

So, both lines are Perpendicular.