The change that should happen to the slope of the line a in order to perpendicular with the line b is to change the slope of line a to -4
What is the condition between the slopes of two perpendicular lines?
The product of slope two completely perpendicular line will be always -1.
According to the asked question
Slope of the line b = (y intersect)/(x intersect)=(y2-y1)/(x2-x1)=(-1.5-0)/(0-6)=(-1.5)/(-6)=0.25
We have to make perpendicular to the line a to line b.
To make perpendicular two line assume the slope of the line a is m
According the rule for making two lines perpendicular, the product of slope of two lines a and b will be -1
So,
Slope of line b * slope of line a = -1
=> 0.25*m = -1
=> m= (-1)/0.25= -4
Therefore, we have to change the slope the line of a to -4 in order to make a and b two-lines perpendicular.
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