Line BC passes through (-5,5) and (0 ,1)
Slope = 5-1/-5-0 = -4/5
Line BC cuts the y-axis at (0,1)
⇒ y-intercept must be 1
General Equation of a linear line: y = mx + b
Plug m = -4/5 and b = 1 into the general equation and find the equation of line BC:
y = -4/5x + 1
Multiply by 5 on both sides:
5y = -4x + 5
Add 4x to both sides:
4x + 5y = 5
Answer: 4x + 5y = 5 (Option C)