Decide whether the lines are parallel, perpendicular or neither. x + 4y = 7 and 4x – y = 3?
Solution:
x + 4y = 7
4y = -x + 7
y = (-1/4) x + 7
Slope of the equation x + 4y = 7 is -1/4.
Again, 4x – y = 3
y = 4x – 3
Slope of the equation 4x – y = 3 is 4.
Since multiplying both the slope of the equation = -1/4 × 4 = -1
Therefore, the given two equations are perpendicular to each other.
