Section 1 - Topic 9 Parallel and Perpendicular Lines - Part 2 (please help)
1 answer:
9514 1404 393
Answer:
- y = -1/7x
- y = 2x -7
Step-by-step explanation:
1. The slope of the given line is the x-coefficient, 7. The slope of the perpendicular line is the negative reciprocal of this: -1/7. Since the line goes through the origin, the y-intercept is zero.
y = -1/7x
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2. The first part of this problem is to find the solution to the given system of equations. We can substitute for x to do that:
3(5 -y)-2y = 10
15 -5y = 10 . . . simplify
-3 +y = -2 . . . . divide by -2
y = 1, x = 4 . . . add 3 to find y; subtract y from 5 to find x
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The second part of this problem requires we note the slope of the parallel line. It is the x-coefficient, 2. The y-intercept can be found from ...
b = y -mx = 1 -2(4) = -7
So, the desired line in y=mx+b form is ...
y = 2x -7
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The first attachment shows the perpendicular lines of problem 1.
The second attachment shows the parallel lines of problem 2.
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