ShmoopTube

Where Monty Python meets your 10th grade teacher.

Search Thousands of Shmoop Videos


Parallel Lines Videos 11 videos

Proving Lines are Parallel
1113 Views

To prove lines are parallel, you need a third line. We at Shmoop (and the rest of the world) call it a transversal.

Parallel Lines and Transversals
34135 Views

This video explores parallel lines and transversals: how to identify them both on a math test and in real life urban planning. What do the consecut...

ACT Math 5.2 Coordinate Geometry
240 Views

ACT Math: Coordinate Geometry Drill 5, Problem 2. Which of these three lines are parallel?

See All

ACT Math 5.2 Coordinate Geometry 240 Views


Share It!


Description:

ACT Math: Coordinate Geometry Drill 5, Problem 2. Which of these three lines are parallel?

Language:
English Language

Transcript

00:02

For a good time, solve this shmoopy question...

00:05

Which of these three lines are parallel?

00:08

Here are your options....

00:12

Alright we know that when the slopes are the same

00:14

the lines are parallel. So we can bring back our old friend Y equals MX plus B here.

00:19

The key activity in this problem is to just reconstitute the equations to be in

00:24

standard line form.

00:25

For equation one its already in that form and the slope is -3.

00:29

For equation 2

00:33

let's start by subtracting 6x from both sides and we have

00:36

-2y equals -6x plus 4

00:39

multiply both sides by -1 to get 2y equal 6x -4

00:44

we divide both sides by 2 to get y equals 3x -2

00:48

So the slope is positive 3. For equation three we start by adding 9x to both

00:55

sides to get 3y equals 9x - 1

00:58

Now get rid the 3 in the 3y by dividing both sides by 3 to get y

01:03

equals 3x -1 by three. So the slope here is 3.

01:08

We have one equation with slope -3

01:11

and two with positive 3. So 2 and 3 are parallel.

01:16

Option C is our answer.

Related Videos

ACT Math 3.1 Plane Geometry
2559 Views

ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?

Inequalities in Number Lines
3229 Views

ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?

ACT Math 3.1 Intermediate Algebra
1955 Views

ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.

Constructions
1888 Views

No hard hat needed here–we're talking about mathematical constructions. If you're using a straight edge, a compass, and a pencil, you're working...

Parallel Lines and Transversals
34135 Views

This video explores parallel lines and transversals: how to identify them both on a math test and in real life urban planning. What do the consecut...