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ACT Math 4.5 Coordinate Geometry 200 Views


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Description:

ACT Math: Coordinate Geometry Drill 4, Problem 5. What is the equation of the graph in the video?

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Transcript

00:02

Here's your shmoop du jour, brought to you by Line Equations. Whose Line Equation is

00:07

it anyway? What is the equation of this graph?

00:11

And here are your potential answers...

00:17

This graph shows us the two points of intersection; they are here at point 5 on the x-axis...

00:22

and here at 2 on the y axis. So right off the bat, we know that 2 points

00:27

on the line are .5, 0 and 0, 2. And since the line slopes downward, we know

00:34

its slope will be negative.

00:36

Now back to our old friend y equals mx plus

00:38

b, the standard form of a line. We can get the slope m by doing the

00:43

y over x dance like this...

00:45

and we get y2 minus y1 over x2 minus x1...

00:48

...or 2 minus 0 over 0 minus .5... ...which equals negative 2 divided by a half

00:54

or... negative 4. So we have y equals negative 4 times x plus

00:58

b...and we can just plug in some points to get b. Let's try the 2nd point - zero, 2

01:05

We have 2 equals negative 4 times 0 plus b or... 2 equals... b.

01:10

Which is answer C.

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