Question

Pre-Algebra: Find the slope of the line passing through the pair of points

Answer 1

We have to find the slope of the line that passes thorugh points (19/2, -8/3) and (-7/2, -1/15).

We can find the slope m as:

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ \\ m=(-(1)/(15)-(-(8)/(3)))/(-(7)/(2)-(19)/(2)) \\ \\ m=(-(1)/(15)+(8)/(3)\cdot(5)/(5))/((-7-19)/(2)) \\ \\ m=(-(1)/(15)+(40)/(15))/((-26)/(2)) \\ \\ m=-(2)/(26)((39)/(15)) \\ \\ m=-(1)/(13)((13\cdot3)/(5\cdot3)) \\ \\ m=-(1)/(5) \end{gathered}`

We can check the result with a graph as:

Answer: the slope is m = -1/5.