P.1.3b Four candy stores are competing with each other. Which store offers the best buy for candy? A.) Sweet Store: 12 pack for
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Given:
Line a passes through (2, 10) and (4, 13).
Line b passes through (4, 9) and (6, 12).
Line c passes through (2, 10) and (4, 9).
To find:
Which of the lines, if any are perpendicular.
Solution:
If a line passes through two points, then the slope of line is
Line a passes through (2, 10) and (4, 13). So, slope of this line is
Line b passes through (4, 9) and (6, 12). So, slope of this line is
Line c passes through (2, 10) and (4,9). So, slope of this line is
Product of slopes of to perpendicular lines is -1.
Therefore, any of these lines are not perpendicular to each other.
Answer:
- 1
Step-by-step explanation:
Let the slope of one line be 's' , then according to the given condition that the slope of second line is negative reciprocal of the first , We obtain the slope of the second line as .
So, the product of both the slopes is given by
This shows that whatever the slopes may be if they are negative reciprocal of each other then their product will always be -1