Question

Find the equation that represents the proportional relationship in this graph, for y in terms of x.

Answer 1

The equation of the line is required.

The proportional relation of the graph is $y=\dfrac{1}{7}x$

Equation of line

Two points of the line are

$(0,0)$ and $(21,3)$

$x_1=0$

$y_1=0$

$x_2=21$

$y_2=3$

The equation of the line is

$y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)$

$\Rightarrow y-0=\dfrac{3-0}{21-0}(x-0)$

$\Rightarrow y=\dfrac{1}{7}x$

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