Respuesta :
Answer:
3/4(6,-1)
Step-by-step explanation:
(6,6)*-(-6,1)
/by answer
Answer:
[tex]y = \frac{5}{12}x + \frac{21}{6}[/tex]
Step-by-step explanation:
We are given the following information in the question.
The line passes through the point (6,6) and (-6,1).
We have to find the point slope form of the equation.
The point slope form of equation is given by:
[tex]y-y_1 = m(x-x_1)\\\text{where}\\m = \displaystyle\frac{y_2-y_1}{x_2-x_1}\\\\\text{Putting}\\(6,6) = (x_1,y_1), (-6,1) = (x_2,y_2)\\\\y - 6 = \frac{1-6}{-6-6}(x - 6)\\\\y-6 = \frac{-5}{-12}(x-6)\\\\12(y-6) = 5(x-6)\\12y - 72 = 5x - 30\\12y = 5x -30 + 72\\12y = 5x +42\\\\y = \frac{5}{12}x + \frac{42}{12}\\\\y = \frac{5}{12}x + \frac{21}{6}[/tex]
The above equation is the required slope intercept form of equation passing through the given points.
