Project from students for grade 10 pre cal

1. Analytical Geometry By: Kim Caligagan , Franca Petrelli, and Alan Merluza

2. table of contents Distance Formula Midpoint Formula Slope Formula Graphing Lines -table of values - x and y intercept -slope y intercept Equation of a line

3. DISTANCE FORMULA (X 1 ,Y 1 ) (X 2 ,Y 2 ) d=√ (y2-y1)2 + (x2-x1)2

5. Midpoint Midpoint MIDPOINT FORMULA: X 2 X + 1 ---------------- 2 , Y Y 2 1 + ---------------- 2

6. EXAMPLE: FIND THE MIDPOINT BETWEEN (7,3) AND (5,2) USING THE MIDPOINT FORMULA SUBSTITUTE THE GIVEN POINTS IF X1=7,Y1=3 AND X2=5,Y2=2 X 2 + X 1 ------------ 2 , Y + Y 1 ------------ 2 5+7 ---------- 2 = 12 ---------- 2 = 6 (X) 2+1 ---------- 2 = 2 ---------- 3 (Y)

9. slope formula Y2-Y1 X2-X1

15. Graphing your points First, you are going to rise 4,now that you have that point from there you are going to rise one and run three. This is you rising 4. This is you rising 1. And this is you running 3.