Answer:
11) D. y=5/2x+5/2
, 12) B. y=8/5x+69/5, 14) A. y=-9/5x-67/5
Step-by-step explanation:
11) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:
Where:
, - Components of the given point, dimensionless.
- Slope, dimensionless.
Besides, a slope that is perpendicular to original line can be calculated by this expression:
Where is the slope of the original line, dimensionless.
The original slope is determined from the explicitive form of the given line:
The original slope is , and the slope of the perpendicular line is:
If , and , then:
The right answer is D.
12) The function of the parallel line can be found in terms of its slope and a given point by this formula:
Where:
, - Components of the given point, dimensionless.
- Slope, dimensionless.
Its slope is the slope of the given, which must be transformed into its explicitive form:
The slope of the parallel line is .
If , and , then:
The correct answer is B.
14) The function of the perpendicular line can be found in terms of its slope and a given point by this formula:
Where:
, - Components of the given point, dimensionless.
- Slope, dimensionless.
Besides, a slope that is perpendicular to original line can be calculated by this expression:
Where is the slope of the original line, dimensionless.
The original slope is determined from the explicitive form of the given line:
The original slope is , and the slope of the perpendicular line is:
If , and , then:
The correct answer is A.