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Math III Videos 103 videos

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ACT Math 3.2 Coordinate Geometry 304 Views


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Description:

ACT Math: Coordinate Geometry Drill 3, Problem 2. What is the slope of a line through the points given?

Language:
English Language

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

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."

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