Answer: (y-(-43))=-7(x-6) and y=-7x-1
Explanation:
1) Pick two points. I'll choose (3,-22) and (6,-43)
2) Next set it up in a rise-over-run function
-43 - (-22)
-------------
6 - 3
3) Solve
-21/3
-7
The slope is -7
4) Find the starting value.
You can do this by substituting two points in a slope-intercept equation(y=mx+b)
y=-7x+b
-22=-7(3)+b
-22= -21+b
-1=b
The starting value is -1.
5) Slope intercept form
We can put all the info together to find that the slope-intercept is:
y=-7x-1
6) Point-slope form:
Point slope form equation is this: y-y1=m(x-x1)
y1 and x1 are one of the points while keeping x and y as variables
So our final equation is (y-(-43))=-7(x-6)