Question

determine k if the line segment joining the points p(k,4) and q(-4,1) is parallel to y axis​

Answer 1

Step-by-step explanation:

Slope of PQ=

k−1

3−4

=

k−1

−1

slope of the perpendicular bisector of PQ=(k−1)

Also midpoint of PQ=(

2

k+1

,

2

7

)

Equation of perpendicular bisector of PQ is y−

2

7

=(k−1)(x−

2

k+1

)

⇒ 2y−7=2x(k−1)−(k

2

−1)

⇒ 2(k−1)x−2y+(8−k

2

)

Y-intercept is,

2

8−k

2

=−4=k=±4