Answer:
y = - 8/3 x - 11
Explanation:
We start by finding the slope of the segment thatjoins the two points using the slope formula:
slope = (y2 - y1) / (x2 - x1)
In our case:
slope = (-3 -5) / (-3 - -6) = -8/3
Now that we have the slope, we use the general expression for a line in slope-intercept form ( y = m x + b), requesting that one of the given points (for example point (-3, -3) )is part of the line as shown below:
y = m x + b
y = - 8/3 x + b
(-3) = - 8/3 (-3) + b
- 3 = 8 + b
b = - 11
Then the equation of the line is:
y = - 8/3 x - 11