Step-by-step explanation:
The product of slope of 2 straight lines perpandicular each other is -1.
Now, The slope of the original equation is 6. We wish to find the slope m of the perpendicular line. So
[tex]6m = - 1[/tex]
[tex]m = - \frac{1}{6} [/tex]
Now substituting the slope m and the point (6, -3) into the perpandicular line to solve for the y intercept.
[tex]y = mx + c[/tex]
[tex] - 3 = 6( - \frac{1}{6} ) + c[/tex]
[tex]c = - 2[/tex]
Therefore, the equation of the perpandicular line is
[tex]y = - \frac{1}{6} x - 2[/tex]
