Question

The points (3,5) and (21,35) form a proportional relationship. Find the slope of the line through thepoints. Then use the slope to graph the line,The slope is

Answer 1

$\begin{gathered} \text{ The slope of a line that passes through 2 points is } \\ m=\frac{y_2-y_1}{x_2-x_1} \\ m=\frac{35-5}{21-3} \\ m=\frac{30}{18} \\ m=\frac{5}{3} \end{gathered}$

The slope is 5/3

For the graph, we have to see that (3,5) and (21,35) are in the line, , or that the equation of the line is

$y=\frac{5}{3}x$

In the case A), a point in the line is (3,5) so the answer is A.