Question

9. The slope of a line perpendicular to the line passing through the points (2,5) and (-3,6) is

a= -1/5
b=1/5
c=-5
d=5
please answer this with explanation. ​

Answer 1

Key Point:-

If two lines are perpendicular, then the product of their slopes are equal to -1.

Solution:-

Equation of line passing through (2,5) and (-3,6) is as follows-

y - 5 = (-1/5)(x - 2)

or, 5y -25 = -x + 2

or, x + 5y = 27

slope of line = -1/5

Slope of line perpendicular to above line = 5

option D is correct...