### SCRIBE ONCE AGAIN!!!

wow sorry im posting this up so late and no i didn't forget i was the scribe as you can see i'm on here right now haha but anyways we started class off today with Mr. K talking about pie day and the mystery coin hunt and explaining to us how fun and exciting it is haha, but yeah afterwards Mr. K gave us a problem to solve which i thought was kind of difficult...hope i'm not alone on this one but yeah we talked about how lines that are perpendicular have negative recipricals and that parallel lines have the same slope, rise over run.

Then we learned what a **lattice point** is, which is the point on a plain that has numbers which are integers. Don't forget that it doesn't matter what line you use for the lattice point because its all the same.

**rise/run = ∆y/∆x = slope**

**y=mx+b**

*slope intercept*

**y-y1=m(x-x1**

*) point slope*

******REMEMBER the better choice is the point slope formula******

**∆y y2 - y1**

**── = ────**

∆x x2 - x1

∆x x2 - x1

**graph ----> rise/run**

**values ----> slope**

**equation ----> point**

**2x-3**and

**d**both live on the same line. Also the lattice point is on the origin. Okay so md = 1/2 and so now you can solve the equation;

**2x-3 = -1/2x**

**4x-6 = -1x**

**-6 = -5x**

**6/5 = x**---->

**x = -1/2(6/5)**---->

**x = -3/5**

d = √ (36/25) + ( 9/25)

d = √ 45/25

d = √ 9.5 / √25

**d = 3√5 / 5 <**---- so that's the shortest point

**ROBERT!**

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