Answer: y + 6 = 11/5( x + 1)
Explanation:
To write the equation in point-slope form we need to first find the slope of the line.
The slope is the difference between the y coordinates divided by the difference between the x coordinates.
-6 - 5= -11
-1 - 4 = -5
-11/-5 = 11/5
The slope is 11/5 .
The point-slope formula says that y - b = m(x - a) where m is the slope and
b is the y coordinate of one of the point and a is the x coordinate of the same point.
We will use the point (-1,-6)
The x coordinate is -1 and the y coordinate is -6.
b will be -6 and a will be -1 while m will be 11/5.
y -(-6) = 11/5(x-(-1)
Reduce it to lowest terms.
y + 6 = 11/5( x + 1)