Question

P(-4, 6), Q(2, 5), R(3, -1), S(-3, 0)a. Find the slope of PQ

Answer 1

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given coordinates of vertices

`P(-4,6),Q(2,5),R(3,-1),S(3,0)`

STEP 2: Find the slope of PQ

`\begin{gathered} \mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=(y_2-y_1)/(x_2-x_1) \\ \left(x_1,\:y_1\right)=\left(-4,\:6\right),\:\left(x_2,\:y_2\right)=\left(2,\:5\right) \\ m=(5-6)/(2-\left(-4\right)) \\ m=-(1)/(6) \end{gathered}`

Hence, the slope of PQ is -1/6