Answer:
y = x - 4
Step-by-step explanation:
The line passes through (-1,-5) and (-3,-7)
The slope of a line is given by; change in y ÷ change in x
i.e slope = [tex]\frac{-7 - -5}{-3 - -1}[/tex] = [tex]\frac{-2}{-2}[/tex] = 1
Taking another point (x,y) on the line.
Slope will be; [tex]\frac{y - -5}{x - -1}[/tex] = 1
Cross multiplying gives; y + 5 = x + 1
Simplifying this equation gives us the equation of our line which is;
y = x - 4
