Question

the coordinates of point r are (-1, 0). the coordinates of point z are (13, 6). determine the slope of line rz.

$m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Explanation:

Step1: Identify coordinates

Given \(R(-1,0)\) as \((x_1,y_1)\) and \(Z(13,6)\) as \((x_2,y_2)\).

Step2: Calculate change in \(y\)

\(y_2 - y_1=6 - 0 = 6\)

Step3: Calculate change in \(x\)

\(x_2 - x_1=13-(-1)=13 + 1=14\)

Step4: Compute slope

Using \(m=\frac{y_2 - y_1}{x_2 - x_1}\), substitute values: \(m=\frac{6}{14}=\frac{3}{7}\)

Answer:

\(\frac{3}{7}\)