Question

Calculate The Constant of Proportionality (k) and Write an Equation for the line in the Graph Below:

Answer 1

k = ½

Equation =>
`y = (1)/(2)x`

Explanation:

Constant of proportionality (k) = y/x

Using a point on the graph, (6, 3),

k = y/x = 3/6 = ½

k = ½

Equation of the line:

Plug in the value of k into
`y = kx` (slope-intercept form of equation for proportional relationship)

Thus:

`y = (1)/(2)x`