The equations for two lines in the coordinate plane are 2dx - y = -4 and 4x - y = -6, where d represents an unknown value. What value(s) of d would make these lines perpendicular?
First, let's put both lines in Slope-intercept form (y = mx + b) to make it a bit easier: Line A: 2dx - y = -4 -y = -4 - 2dx y = 2dx + 4
Line B: 4x - y = -6 -y = -6 - 4x y = 4x + 6
We want a value for d so that line A is perpendicular to line B, which has a slope of 4. That means that the slope of line A must equal -1/4. 2d = -1/4 d = -1/8
