Question

Are the following equations parallel, perpendicular or neither?y = 5x5x + y = 4A. ParallelB. PerpendicularC. Neither

Answer 1

You have the following equations:

`\begin{gathered} y=5x \\ 5x+y=4 \end{gathered}`

In order to determine if the given lines are parallel, pependicular or neither, first write the second equation in the slope y-intercept form, just as follow:

`y=-5x+4`

the coefficient of the term with variable x is the slope of the line. Thus, you have that the first line has a slope of m1=5 and the second line a slope of m2=-5

If the quotient between the slope of the lines is equal to -1, it means that the lines are perpendicular. You have:

`(m_1)/(m_2)=-1`

Hence, the lines are perpendicular