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Determining the Slope of a Line

Linear Functions

Determining the Slope of a Line 1.4 - Solution

Return to Determining the Slope of a Line

Let's calculate the slope for each pair of points using the formula for slope.

Pair of points	$\frac{y _{2} - y _{1}}{x _{2} - x _{1}}$	Slope
$(2, 1), (4, 13)$	$\frac{1 3 - 1}{4 - 2}$	$6$
$(2, 7), (14, 5)$	$\frac{5 - 7}{1 4 - 2}$	$- \frac{1}{6}$
$(1, 4), (7, 5)$	$\frac{5 - 4}{7 - 1}$	$\frac{1}{6}$
$(7, 1), (10, 2)$	$\frac{2 - 1}{1 0 - 7}$	$\frac{1}{3}$

As we see the third set of points is on a line with the slope $\frac{1}{6} .$ Therefore, option C is correct.