HELP ME OUT PLEASE SOLVE IT..............

Question

Are the lines associated with the given functions parrallel ,perpendicular, or neither
f(x)=4x+9, g(x)=1/4x+3

 

I already solved it but not that sure 

My answer is they are not parallel nor perpendicular 

Answer 1

You are correct, the lines fit neither condition.

 

The equations are already in slope-intercept form, so you can see the slope of the first line is 4 and the slope of the second line is 1/4.

 

1.) To be parallel, the slopes would need to be equal.

2.) To be perpendicular, the slopes would need to be the negative reciprocal.

 

You can use the above rules for any similar question about two lines. Just find the slopes then evaluate using the two rules.

Answer 2

Slope of two lines have to be equal for thenlines to be parallel. In your case the slopes are different:

for the first line the slope is m₁ = 4 for the second one m₂=1/4 - not parallel. For the lines to be perpendicular these two slopes have to satisfy the following condition

         

                                            m₁xm₂ = -1

In your case m₁xm₂ = 4x(1/4) = 1 - not perpendicular.

 

Answer: neither