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.

Respuesta :

The slope of the lines passing through given points is  [tex]\frac{5}{12}[/tex].

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 ([tex]x_{1} ,y_{1}[/tex]) and ([tex]x_{2} ,y_{2}[/tex])  is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Now,

Putting, [tex]x_{1}=6, y_{1}=6, x_{2}=-6, y_{2}= 1[/tex] we get,

Slope = [tex]\frac{1-6}{-6-6}[/tex] = [tex]\frac{-5}{-12}[/tex] = [tex]\frac{5}{12}[/tex]

Hence,

The slope of the lines passing through given points is  [tex]\frac{5}{12}[/tex].

Answer:

y=5/12 x+21/6

Step-by-step explanation: