Question

A line with a slope of 3/14
passes through
points (7, 3k) and (0, k). What is the value
of k?​

Answer 1

Value of k = 3/4 = 0,75

What we have

a) slope = 3/14

b) slope = Δy / Δx = (y₂ - y₁) / (x₂ - x₁)

c) Point 1 => x₁ = 7    y₁ = 3k

d) Point 2 => x₂ = 0    y₂ = k

Under this conditions:

3/14 = (k - 3k) / (0 - 7) => 3/14 = -2k / -7 => -21 = -28K

We multiply by (-1) both sides of the ecuation => 21 = 28k

so k = 21/28

k = 3/4 = 0,75