Concept explainers
a.
To find the equation of the line
a.
Answer to Problem 15PTTS
Explanation of Solution
Given information:
Coordinates
Formula used:
Calculation:
Let the coordinates point of
Substituting the values of
Calculating for the equation
Using cross multiplication method
Taking all the variables in the left hand side and constant term in the right hand side
b.
To find the equation of a line that is parallel to the line shown and passes through the point
b.
Answer to Problem 15PTTS
Explanation of Solution
Given information:
Equation of the line shown is
Points
Formula used:
Use post slope formula to find the equation
To calculate m
Calculation:
Substituting the values to calculate m
Comparing this equation to the formula to calculate m
The value of m is
Now finding equation using post slope formula and substituting values
Using cross multiplication method
The equation of the line passing through the points is
c.
To find the equation of a line that is perpendicular to the line shown and passes through the point
c.
Answer to Problem 15PTTS
Explanation of Solution
Given information:
Equation of the line shown is
Value of
Points
Formula used:
Use post slope formula to find the equation
To calculate m
Calculation:
Calculating for m
Final value is
Perpendicular slope must be opposite reciprocal of each other
Substituting values in post slope formula
Calculating the equation
d.
To find the equation of a line that is perpendicular to the line shown and passes through the point
d.
Answer to Problem 15PTTS
Explanation of Solution
Given information:
Equation of the line shown is
Points
Formula used:
Use post slope formula to find the equation
Calculation: substituting the values in the formula
Calculating the equation
e.
To Graph :
To graph the given lines
e.
Explanation of Solution
Given information :
Given equations
Graph :
Interpretation :
This graph shows that it is forming a Quadrilateral
Chapter 10 Solutions
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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