(x, y) = (-3, -11)
The equation y = 2x - 4 is already in slope intercept form, y = mx + b
Our slope (m) must be the same for a parallel line
Substitute the values of (x, y) into the slope intercept form, we have:
-11 = 2(-3) + b; -11 = -6 + b
Add 6 to both sides, we have:
b = -11 + 6 = -5
b = -5
From y = 2x - 4, m = 2
b = -5, m = 2
y = mx + b
y = 2x - 5
Therefore, the equation for the parallel line passing through (-3,-11) is y = 2x - 5
