Question

Find the equations of the straight lines passing through (1, 3) and (1) parallel to (i) perpendicular
to the line passing through the points (3,-5) and (-6,1).​

Answer 1

Answer:

Line passing through (3,−5) & (−6,1) slope

m=

−6+3

1+5

=

−9

6

=

3

−2

i) Line parallel passing through (1,3)

y−3=

3

−2

(x−1)

3y−9=−2x+2

3y+2x−11=0

ii) Line passing through (1,3)

y−3=

2

3

(x−1)

2y−6=3x−3

2y−3x−3=0