f(x)=4x+9, g(x)=1/4x+3

Are the lines associated with the given functions parrallel ,perpendicular, or neither

f(x)=4x+9, g(x)=1/4x+3

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

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Katherine P. | Shoreview Area Math Tutoring and Test PrepShoreview Area Math Tutoring and Test Pr...

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.

Grigori S. | Certified Physics and Math Teacher G.S.Certified Physics and Math Teacher G.S.

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 m_{1} = 4 for the second one m_{2}=1/4 - not parallel. For the lines to be perpendicular these two slopes have to satisfy the following condition

m_{1}xm_{2} = -1

In your case m_{1}xm_{2} = 4x(1/4) = 1 - not perpendicular.

Answer: neither

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