Answer:
[tex]y-6=-6(x-1)[/tex]
Step-by-step explanation:
A point-slope equation requires two values in order to write it: one coordinate and the slope.
First, find the slope between the two given points. To find the slope, you would subtract the first Y from the second Y and the first X from the second X. Y goes on top of the fraction bar, making the equation look like this:
[tex]\frac{6-(-6)}{1-3}[/tex]
Then, simplify the slope equation:
[tex]\frac{6-(-6)}{1-3} = \frac{6+6}{1-3} = \frac{12}{-2} = -6[/tex]
The slope is -6.
Finally, choose one of the coordinates. For this, I'll pick (1, 6).
The point-slope equation is [tex]y-y_{1} =m(x-x_{1})[/tex]
So, simply fill in the [tex]m[/tex], [tex]y_{1}[/tex] , and [tex]x_{1}[/tex] spots with the value we have found.
[tex]m[/tex] is the slope, so replace it with -6.
[tex]y_{1}[/tex] = 6
[tex]x_{1}[/tex] = 1
Final answer:
[tex]y-6=-6(x-1)[/tex]
