Linear+Equations+and+Graphs

==**   In linear Equations and their Graphs always have to end up with a slope, with a slope with is stepness of a line. The equation to find slope is      : slope= y2-y1/x2-x1  Key terms:  * Slope- The ratio of the vertical change to the horizontal change. * Slope- Intercept Form- A linear equation of a nonvertical line written as //y= mx+b//, where m is the slope and //b// is the y-intercept. *Point-Slope Form- a linear equation of a nonvertical line written as //y-y1- m(x-x1)// * Standard Form- Ax+By=C where x and y are subscripts. A, B, and C are INTEGERS and A and B are not both equal to zero. *Graphs of Equations in all Forms- y=mx+b     **== = EXAMPLES! =

1) Q:What is the graph of the following parabola y = (x–1)² + 1? A: The parabola's vertex is the point (1,1).

2)Q:What is the graph of the following parabola y = –(x–1)² + 1?



3) Q:What is the graph of the following parabola y = (x+2)² –3?

4)Q:y = (x + 3)² + 4 A: The vertex is the point (-3,4)

NOW YOU TRY!!!

1) a music store is offering a coupon promption on its CDs. The regular price for CDs is $14. With the coupon, customers are given $4 off the total purchase. The equation t= 14c-4, where c is the number of CDs and t is the total cost of the purchase, models this situation. FIND THE TOTAL COST FOR A SALE OF 6 CDs!

HELP FOR YOUR EOC'S I RECOMEND TO GO  www.studygs.net/**equations**.htm http://mathforum.org/library/drmath/sets/high_lineareq.html

PROVIDED BY: JOANNA CHIAPPE