Question

Write the point-slope form of the equation of the line that passes through the points (6, 6) and (-6, 1). Include your work in your final answer. Type your answer in the box provided to submit your solution.

Answer 1

The slope of the lines passing through given points is  $\frac{5}{12}$.

Step-by-step explanation:

Given,

The given two points are (6,6) and (-6,1).

To find the slope of the line passing through the points.

Formula

The slope of the line passing through ($x_{1} ,y_{1}$) and ($x_{2} ,y_{2}$)  is $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

Now,

Putting, $x_{1}=6, y_{1}=6, x_{2}=-6, y_{2}= 1$ we get,

Slope = $\frac{1-6}{-6-6}$ = $\frac{-5}{-12}$ = $\frac{5}{12}$

Hence,

The slope of the lines passing through given points is  $\frac{5}{12}$.