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
graph ----> rise/run
values ----> slope
equation ----> point
I'll try explaing or showing the problem that we did in class again hope it helps some of you guys out, but as i said earlier didnt' really do that great with these problems so just bare with me...
Before we started solving this equation and looking for the smallest point, it's a good idea to draw the graph first cause it does help you a lot to see how it looks like. Then what you do is you use the distance formula to see how far the point is...and notice that while your looking at the graph and at the point, you notice that 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
Now once you've done that you can now use the distance formula to solve it...
d = √ (0-6/5)² + (0+3/5)²
d = √ (36/25) + ( 9/25)
d = √ 45/25
d = √ 9.5 / √25
d = 3√5 / 5 <---- so that's the shortest point
After this question we did another one and that's how we ended the class and im so sorry if this doesn't help anybody but crossing my fingers and hope it does though.
tomorrow's scribe is ROBERT!