Tuesday, December 4, 2012

Solving Slope intercept Form

There are two planets of the same size. On both planets there are space donkeys that produce oxygen. On planet A there is less donkeys than planet B. Planet A has at the beginning 10 megatons of oxygen, while planet B has 5 megatons. From this problem my class and I had to determine where do we put the why intercept the x intercept and to determine what is the slope. We used the slope-intercept formula, which is the most practical for this type of problem. the slope intercept formula goes (y-y1)=m(x-x1). Thus into this formula we had to plug in the information that is being given to us into the equation and solve it. Since in class we changed the numbers in the scenario the equation will look different. Planet A m=3mt/wk Planet B m (25,30) So resulting from this we can see what information we are given in this scenario. Planet A has a slope or constant rate of increasing oxygen which is in this case 3 megatons per week. On the other hand, for planet B we have only the coordinates which show a certain point. Sloving the problem using Slope Intercept form (y-15)=1(X-10) +15 +15 Y=1(X+5) Y= x+5 This was the first trial of solving slope intercept form equations, the second trial uses the same formula just slightly different numbers in them. (y-20)=1(x-25) +20 +20 we are adding twenty to both sides in order to cancel out the twenty in the equation. afterwards... Y=1(x-5) Y=x-5 And the third trial uses again the same formula just know the number values are different. (Y- -10)=1(x- -25) -10 -10 We are subtracting 10 because in the equation y and the number in the parentheses are both negative, thus they will turn into a positive. Y=1(x+35) Y=x+35