Concept explainers
(a)
To find:The equation for the line
(a)
Answer to Problem 58E
The equation for the line
Explanation of Solution
Given information:The equation of line
Calculation:
Rewrite the given equation of line
So, the slope of the line
The condition for two perpendicular lines is
The equation of its perpendicular line that passes through the point
Therefore, the equation for the line
(b)
To find:The coordinates of intersection point
(b)
Answer to Problem 58E
The coordinates of the point
Explanation of Solution
Given information:The equation of line
Calculation:
From part (a), the equation for the line
The given equation of line
Substitute
Simplify further.
Now, substitute the value of
Therefore, the coordinates of the point
(c)
To find:The distance from point
(c)
Answer to Problem 58E
The distance from point
Explanation of Solution
Given information:The point is
Calculation:
From part (b), the coordinates of the point
The formula to find the distance between two points is given by,
The distance from point
Simplify further.
Therefore, the distance from point
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
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