Question

determine k if slope of line segment joining the points A(k,8) , and B (-2,-2) is the parallel of y axis​

Answer 1

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Answer 2

Given:

Point A = (k, 8)

Point B = (-2, -2)

To find:

The value of k.

Solution:

As given in the question, that the line joining the two points is parallel to the y-axis, therefore it must be perpendicular to x axis and its slope will be:

m = tan90° = 1/0 = ∞

Slope of the line joining the points A and B will be:

y₂-y₁/x₂-x₁ = 8 - (-2)/ k- (-2)

= 10/ k+2

Equating the two equations of slope:

1/0 = 10/k+2

k+2 = 0

k= -2

Therefore for k= -2 the line will be parallel to y axis.