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44 votes
44 votes
Consider the line y=2/5-4/3x what is the slope of a line perpendicular to this line

User Mina Hafzalla
by
2.5k points

1 Answer

11 votes
11 votes

The product of the slopes of this line and the line perpendicular to it is equal to -1.

Note that the slope if the coefficient of x.

Let


\alpha

be the slope of the given line.

Let


\beta

be the slope of the line perpendicular to it.

I can therefore say,


\alpha * \beta = - 1


( - 4)/(3) * \beta = - 1


\beta = ( - 1)/( ( - 4)/(3) )


\beta = ( - 3)/( - 4) = (3)/( 4)

The slope is 3/4

User Ankitd
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3.1k points