Question

find the equation for the line passes through the point(5,2) and that is perpendicular to the line with the equation y=2/3×-3​

Answer 1

hi

Explanation:

Answer

The equation of line joining the points (2,3) and (3,−1) is

3+1

y+1

​

=

2−3

x−3

​

or, y+1=−4x+12

or, y+4x=11.....(1)

Now the equation of line perpendicular to the line (1) is 4x−y=c......(2) { Where c is constant].

Given the equation (2) passing through (5,2) then we get, c=18.

So the equation of the line is 4x−y=18.