Answer:
The slope is \(\frac{5}{7}\)
Step-by-step explanation:
Since, the slope of a line that passes through the points \((x_1,y_1)\) and \((x_2,y_2)\) is,
\(m=\frac{y_2-y_1}{x_2-x_1}\)
Thus, the slope of the line passes through the points (7,5) and (21,15) is,
\(m=\frac{15-5}{21-7}\)
\(=\frac{10}{14}\)
\(\implies m=\frac{5}{7}\)