ShmoopTube
Where Monty Python meets your 10th grade teacher.
Search Thousands of Shmoop Videos
Coordinate Geometry Videos 38 videos
In geometry, points are called collinear if they all lie on the same line. What, no bunk beds?
ACT Math 3.2 Coordinate Geometry 304 Views
Share It!
Description:
ACT Math: Coordinate Geometry Drill 3, Problem 2. What is the slope of a line through the points given?
- Coordinate Geometry / Slope
- Product Type / ACT Math
- Foreign Language / Arabic Subtitled
- Foreign Language / Korean Subtitled
- Foreign Language / Spanish Subtitled
- Foreign Language / Chinese Subtitled
- Functions / Interpret expressions for functions in terms of the situation they model
- Geometry / Translate between the geometric description and equation for a conic section
- Properties, Measurement, and Dimension / Translate between the geometric description and the equation for a conic section
- Coordinate Geometry / Slope
Transcript
- 00:02
For a good time, solve this shmoopy question...
- 00:05
What is the slope of the line through 4, 7 and -2, 6?
- 00:09
And here are your options...
- 00:12
The standard equation for point slope lines
- 00:16
is Y equals MX plus B and we can get M
Full Transcript
- 00:20
by subtracting two points on a graph so in this case check out the points here
- 00:24
on the graph.
- 00:25
4, 7 and -2, 6. The points live here and here
- 00:30
and we can draw a line through them in a slope is here. Line goes a little bit
- 00:34
upward...so double check ourselves we know it's gonna have to have a positive slope
- 00:39
so we can immediately reject C, D and E So in this case
- 00:43
we just subtract the points and put them in the form Y
- 00:46
over X. So take the 7 of the 4, 7 point
- 00:50
and subtract 6 from it. We get 1 in the numerator
- 00:54
now get the x-coordinate. We have 4
- 00:57
minus -2 which is just adding 2
- 01:00
to get 6. So that's slope of 1 over 6. Here it is.
- 01:05
Answer A as in "Abracadabra."
Related Videos
ACT Math: Plane Geometry Drill 3, Problem 1. What is the area of the trapezoid shape in the video?
ACT Math: Coordinate Geometry Drill 1, Problem 1. Which inequality is expressed by the number line?
ACT Math: Intermediate Algebra: Drill 3, Problem 1. Find the fifth number in the series.
Haven't you always wondered how much cardboard it takes to encase a trunk warmer for your pet elephant?
Want to figure out the area and perimeter of irregular shapes? Break them down into regular shapes. For example, a flower can be broken down into s...