Question

Write the equation for the function graphed below.

Answer 1

The equation of a line passing through (0, 0) and (2, 10) is y = 5x

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope of the line) and b is the y intercept.

Let us assume that the graph is a straight line passing through (0, 0) and (2, 10), hence:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{10-0}{2-0} (x-0)\\\\y=5x$

The equation of a line passing through (0, 0) and (2, 10) is y = 5x

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