Question

The following set of four ordered pairs below defines the vertices, in counterclockwise order, of a quadrilateral (four-sided figure)Find the slope of the indicated sides of the quadrilateral

Answer 1

SOLUTION

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

STEP 1: Write the first two vertices given

$(-5,-1),(-6,3)$

STEP 2: Find the slope

The side connecting the two given points will be gotten using distance formula;

$\begin{gathered} \mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1} \\ \left(x_1,\:y_1\right)=\left(-5,\:-1\right),\:\left(x_2,\:y_2\right)=\left(-6,\:3\right) \\ m=\frac{3-\left(-1\right)}{-6-\left(-5\right)} \\ m=-4 \end{gathered}$

Slope is -4

STEP 3: Write the second two vertices given

$(0,1),(-1,5)$

STEP 4: find the slope

$\begin{gathered} \mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1} \\ \left(x_1,\:y_1\right)=\left(0,\:1\right),\:\left(x_2,\:y_2\right)=\left(-1,\:5\right) \\ m=\frac{5-1}{-1-0} \\ m=-4 \end{gathered}$

Slope is -4