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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.

Language:
English Language

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

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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