Answer:
Equation: y = 1/5x - 2
Slope (m): 1/5
The graph of the line equation y = 1/5x - 2 is also attached below.
Step-by-step explanation:
The slope-intercept form of the line equation

where
Given the ordered pairs
Finding the slope between the points (5, -1) and (-5, -3)



Refine

Thus, the slope (m) = 1/5
Also given that the y-intercept b = -2
Now, substituting m = 1/5 and y-intercept b = -2 in the slope-intercept form
y = mx+b
y = 1/5x + (-2)
y = 1/5x - 2
Therefore, the equation of the line is:
The graph of the line equation y = 1/5x - 2 is also attached below.