Concept explainers
(a)
To find: The equation of the line for the given condition.
(a)
Answer to Problem 9RP
The equation of the line is
Explanation of Solution
Given:
The slope is 2 and the y intercept is 1
Calculation:
Consider the general form for the equation of the line is,
Then, from the given data the equation of the line is,
(b)
To find: The equation of the line for the given condition.
(b)
Answer to Problem 9RP
The equation of the line is
Explanation of Solution
Given:
The two points of the line is
Calculation:
The formula to determine the slope of the line is of the form,
Then, slope of the line with the points
The above slope is the special case that denotes the perfectly vertical slope or the infinite slope. Thus, the equation of the line is,
(c)
To find: The equation of the line for the given condition.
(c)
Answer to Problem 9RP
The equation of the line is
Explanation of Solution
Given:
The line is parallel to and 5 points to the left of the y axis.
Calculation:
Consider the general form for the equation of the line is,
The line is parallel to the y axis then the value of y is 0.
The point is 5 point to the left of the y axis that is,
(d)
To find: The equation of the line for the given condition.
(d)
Answer to Problem 9RP
The equation of the line is
Explanation of Solution
Given:
The line passes through the points.
Calculation:
The formula to determine the slope of the line is of the form,
Then, slope of the line with the points
Consider the general form for the equation of the line is,
Then,
(e)
To find: The equation of the line for the given condition.
(e)
Answer to Problem 9RP
The equation of the line is
Explanation of Solution
Given:
The slope is
Calculation:
Consider the general form for the equation of the line is,
Then,
(f)
To find: The equation of the line for the given condition.
(f)
Answer to Problem 9RP
The equation of the line is
Explanation of Solution
Given:
The graph is parallel to the line
Calculation:
Consider the general form of the equation of the line is,
The equation of the line to be found is same as the slope of the line
The intercept of the line
(g)
To find: The equation of the line for the given condition.
(g)
Answer to Problem 9RP
The equation of the line is
Explanation of Solution
Given:
The intercept x is 6 and intercept y is
Calculation:
Consider the general form of the equation of the line is,
The slope of the equation is,
Then, the equation of the line is,
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