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=(y_2-y_1)/(x_2-x_1) \\ m=(35-5)/(21-3) \\ m=(30)/(18) \\ m=(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=(5)/(3)x`

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