What is the perpendicular y=-7/6 x+6,(6,4) ?

The perpendicular y=-7/6 x+6,(6,4) is y= 6/7 x-8/7

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perpendicular y=-7/6 x+6,(6,4)

perpendicular

y = - \frac{7}{6} x + 6, (6, 4)

y = \frac{6}{7} x - \frac{8}{7}

Solution steps

Find the line

y = mx + b

perpendicular to

y = - \frac{7}{6} x + 6

that passes through

(6, 4)

Find the slope of

y = - \frac{7}{6} x + 6 : m = - \frac{7}{6}

Compute the slope of the perpendicular line:

m_{p} = \frac{6}{7}

Find the line with slope m=

\frac{6}{7}

and passing through

(6, 4) : y = \frac{6}{7} x - \frac{8}{7}

y = \frac{6}{7} x - \frac{8}{7}

What is the perpendicular y=-7/6 x+6,(6,4) ?
The perpendicular y=-7/6 x+6,(6,4) is y= 6/7 x-8/7