Question

the points (0.5, 1/10) and (7, 1 2/5) are on the graph of a proportional relationship

A. what is the constant of proportionality

B. Name one more point on the graph

C. Write an equation that represents the proportional relationship

Answer 1

C. Write an equation that represents the proportional relationship

Answer 2

The constant of proportionality is 1/5 and the equation of the line is y = (1/5)x

A linear equation is of the form:

y = mx + b

where m is the constant of proportionality, b is the y intercept, y, x are variables.

Given the points (0.5, 1/10) and (7, 1 2/5), hence, the equation of the line is:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-\frac{1}{10} =\frac{\frac{7}{5}-\frac{1}{10} }{7-0.5} (x-0.5)\\\\y=\frac{1}{5} x$

At x = 0, y = 0. Hence (0,0) is a point on the graph.

Hence the constant of proportionality is 1/5 and the equation of the line is y = (1/5)x

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