Answer:
Step-by-step explanation:
Given:
The given equation of the line that passes through the point (4, 0).
Part A.
The equation of the line.
-----------(1)
Where:
m = Slope of the line
c = y-intercept
The given equation of the line.
Comparing the given equation with equation 1.
The slope of the line is and y-intercept
We know that the slope of the perpendicular line is .
So the slope of the perpendicular line is .
Using point slope formula we write the equation of the perpendicular line that passes through the point (4, 0).
Now we substitute the slope of the perpendicular line and from point (4, 0) in above equation.
Therefore the perpendicular line equation is .
Part B.
1. The slope of the perpendicular line is .
2. The y-intercept of the perpendicular line is 6.
3. The equation of the line is perpendicular to the equation of line .