Question

2. A line passing through the points A(8,-3) and B(6, 1) is parallel to another line passing through
the points P(4, 1) and Q (5, m). Find the value of m.​

Answer 1

Answer:

slope of the line passing through (−8,3),(2,1) is

m

1

=

x

2

−x

1

y

2

−y

1

=

2+3

1−3

=

10

−2

=

5

−1

slope of line passing through points (11,−1)&(k,u)

m

2

=

x

2

−x

2

y

2

−y

1

=

k−11

0+1

=

k−11

1

since these lines are paralle so,

m

1

=m

2

⇒

5

−1

=

k−11

1

⇒k−11=−5

⇒k=11−5

⇒k=6