Answer:
y = 9
Step-by-step explanation:
Calculate the slope m of line k using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (5, 8) and (x₂, y₂ ) = (2, y)
m = =
Given a line with slope m then the slope of a line perpendicular to it is
= -
The slope of line l is m = 3, thus slope of line k is
m = -
Equating the 2 slopes for line k
= -
( multiply both sides by - 3 )
y - 8 = 1 ( add 8 to both sides )
y = 9