Write an equation of the line perpendicular to 6x + 7y=126, through (7,8).

y = 7/6 * x - 1/6

Step-by-step explanation:

6x + 7y = 126

y = ( - 6/7) * x + 18

slope: - 6/7

A line perpendicular to another has a slope that is the negative reciprocal of the slope of the other line

slope' : 7/6

y = mx + b

8 = 7/6 * 7 + b

b = (48-49) / 6 = - 1/6

equation: y = 7/6 * x - 1/6