Question

y= 2x+3

A). What is the slope of a line parallel to the given line?

B). What is the slope of a line perpendicular to the given line?

Answer 1

A standard line equation takes the form of y=mx+b

m= the slope so we see that 2 is next to x in your example

A) Slope = 2

Perpendicular lines will have the negative reciprocal of the original equation's slope

2 -> -$\frac{1}{2}$

B) $y=-\frac{1}{2} x+3$

Answer 2

slope of parallel line is 2 and the perpendicular is -1/2
as dy/dx=2