Question

Line l and line k are perpendicular. Line l has a slope of 3. Line k contains the points (5, 8) and (2,

Answer 1

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 = $\frac{y-8}{2-5}$ = $\frac{y-8}{-3}$

Given a line with slope m then the slope of a line perpendicular to it is

$m_{perpendicular}$ = - $\frac{1}{m}$

The slope of line l is m = 3, thus slope of line k is

m = - $\frac{1}{3}$

Equating the 2 slopes for line k

$\frac{y-8}{-3}$ = - $\frac{1}{3}$ ( multiply both sides by - 3 )

y - 8 = 1 ( add 8 to both sides )

y = 9