Question

Given W(2-3). X(-4.9), Y(5. y), and Z(-1, 1), find the value of y so that so that segment WX is perpendicular to segment YZ.

Answer 1

4

Explanation:

For WX to be perpendicular to YZ, then the product of their slope must be -1

For slope of WX

W(2-3) and X(-4.9),

Mwx = 9-(-3)/-4-2

Mwx = 12/-6

Mwx = -2

For slope of Y(5. y), and Z(-1, 1),

Myz = 1-y/-1-5

Myz = 1-y/-6

Since Mwx•Myz = -1

-2•(1-y/-6) = -1

1-y/3 = -1

1-y = -3

-y = -3-1

-y = -4

y = 4

Hence the value of y is 4