Answer with explanation:
The equation of any line with slope 'm' and passing through any point is given by
As we know that the general equation of a line with slope 'm' is
Comparing with the given equation we can conclude slope of the given line is
Now we know that the product of slopes of perpendicular lines is -1
Mathematically we can write for perpendicular lines
Thus the slope of the required line is obtained from the above relation since it is given that they are perpendicular
Hence using the given and the obtained values the equation of the required line is
Part b)
The angle of intersection between 2 lines with slopes is given by
Comparing the equations of given lines
with the standard equation we get
Thus the angle of intersection becomes