Question

Based on the table of values below, find the slope between points where x = 5 and where x = 10.
X y
5 2
7 6
10 7
Answer choices
A -1
B 1/2
C 1
D 2

Answer 1

$\bf \begin{array}{ccll} x&y\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ \boxed{5}&\boxed{2}\\ 7&6\\ \boxed{10}&\boxed{7} \end{array} \\\\\\ (\stackrel{x_1}{5}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{7}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{7-2}{10-5}\implies \cfrac{5}{5}\implies 1$