Determine whether the graph of the pair of equations is parallel, perpendicular, or neither. y=-4x+1 4y=x+3 Select one: a. parallel b. perpendicular c. neither

Mathematics · High School · Tue Nov 03 2020

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For finding the graph of the pair of equations is parallel, perpendicular, or neither. we see the slope of the given equations 

 y=-4x+1, m(1)= -4

 4y=x+3 by simplifying y= (x/4)+(¾) where m(2)= ¼

We know that the pair of equations is parallel when m(1)=m(2), and perpendicular when m(1)*m(2)=-1

So by the given equations, we have 

(-4)*(¼)= -1 

So given equations are perpendicular to each other options b are correct.