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Parallel and perpendicular lines Videos 3 videos
ACT Math: Coordinate Geometry Drill 3, Problem 5. What is the slope of a line parallel to one with the given equation?
ACT Math: Coordinate Geometry Drill 4, Problem 1. Find the equation of the line described.
ACT Math: Coordinate Geometry Drill 5, Problem 2. Which of these three lines are parallel?
ACT Math 4.1 Coordinate Geometry 238 Views
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Description:
ACT Math: Coordinate Geometry Drill 4, Problem 1. Find the equation of the line described.
Transcript
- 00:02
For a good time, solve this shmoopy question...
- 00:05
What is the equation of a line perpendicular to Y equals
- 00:09
negative 1/2 X plus four and containing the point 8, 2?
- 00:14
And here are your options...
- 00:16
Okay, so this question is testing whether we know that in
Full Transcript
- 00:20
the land of Y equals MX plus B
- 00:23
were M is the slope of a line. The slope of a line
- 00:26
perpendicular to that line is the negative
- 00:29
inverse of that form. In this example the slope is negative 1/2
- 00:35
so we just need that negative reciprocal so that'll be positive
- 00:39
2 over one or just positive 2. So we can get rid of B and C as potential answers.
- 00:44
We also know that one point this perpendicular line contains is
- 00:49
8 , 2. So all we need to do is plug in these points
- 00:54
into Y equals MX plus B so
- 00:57
we get 2 equals 2 times
- 01:00
8 plus B and we have 2 equals 16 plus B
- 01:04
or B equals -14 and we have Y equals 2x -14
- 01:09
there you go. The answer is E.
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