Question

Select the correct answer from each drop-down menu. The slope of the line passing through the points (7,5) and (21, 15) is :5/7 , 7/5 , 5 or 7 ? { Another line with a slope that is one-third that of the slope you just calculated passes through the origin and the pointpick one from these :3,53,721,521,7 }

Answer 1

To calculate the slope we have to do the following

$m=\frac{15-5}{21-7}=\frac{10}{14}=\frac{5}{7}$

So answer the answer is 5/7

To answer the other question, we have to divide by 3 the slope

$\frac{5}{7\cdot3}=\frac{5}{21}$

So the equation of the second line is

$y=\frac{5}{21}x$

so one point of it is (21,5)