Find the point on the line 6 x + 7 y + 6 = 0 which is closest to the point ( 2 , 0 )

Question

Please give all work and the answer, thank you!

Answer 1

y = -6x/7 - 6/7

Distance is measured on the perpendicular.

y_perp = 7x/6 + b

0 = (7)(2) / 6 + b

0 = 14 / 6 + b

-7 / 3 = b

y_perp = 7x/6 - 7/3

To find the point on y determine the common solution to y and y_perp

Answer 2

verticly 2,-2.6.................