## Answers

Let line m passes through the point (7,5) and be perpendicular to the line 2x - 3y =6

Let AB be the line having equation 2x - 3y = 6

Therefore, slope of line AB = -a/b .......Formula

Slope = -2/-3 = 2/3

Therefore, slope of line m = -1/ 2/3 = -3/2

By using Slope-Point form of the line, equation of the line m is,

y - y1 = m (x - x1)

y - 5 = -3/2 (x - 7)

2(y - 5) = -3 ( x - 7)

2y - 10 = -3x + 21

3x + 2y = 31

Therefore, equation of the line is 3x + 2y + 31