Question

Supposed (4.2 s, 9.6 ft) and (6.7 s, 12.3 ft) are points on a graph of a linear function.
What is the slope of the graph in decimal form.

Answer 1

The slope of the graph in decimal form is 1.08.

By geometry we know that a line can be constructed after knowing the location of two distinct points. Lines in explicit form are defined by slope and intercept, the former is calculated by the secant line equation and the intercept by solving a linear function.

If we know that $(x_{1}, y_{1}) = (4.2, 9.6)$ and $(x_{2}, y_{2}) = (6.7, 12.3)$, then the slope of the graph is:

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m = \frac{12.3-9.6}{6.7-4.2}$

$m = 1.08$

The slope of the graph in decimal form is 1.08.

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