Welcome back from Thanksgiving! You need: pen/pencil, composition notebook, clicker, and strip of paper from front of the room (pink if you think I’m.

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Presentation transcript:

Welcome back from Thanksgiving! You need: pen/pencil, composition notebook, clicker, and strip of paper from front of the room (pink if you think I’m having a girl, blue for a boy) Do not fold the paper! Schedule: On strip of paper, write your first and last name and three things you want Santa to bring you then turn into the bucket on my desk. Clicker Quiz Review – preparing for semester test 7-1 Solving Linear Systems by Graphing Intro Video then PP

Test Corrections… We will go over your test TOMORROW and you will have only this week during the times listed below to make test corrections…NO EXCEPTIONS! Tomorrow after school tutoring 3:15-3:45pm ALL morning tutoring this week EXCEPT FRIDAY MORNING Thursday after school tutoring 3:15-3:45pm Wednesday and Friday at LUNCH

7-1 Solve Linear Systems by Graphing

Systems of Equations A system is when you have two or more equations that you are solving at one time. We are going to solve by graphing so we are looking for the POINT of INTERSECTION of the lines on the graph.

y = 2x + 0 & y = -1x + 3 Slope = 2/1 y-intercept= 0 Up 2 and right 1 y-intercept= +3 Slope = 1/-1 Up 1 and left 1 The solution is the point they cross at (1,2) (1,2)

y = x - 3 & y = -3x + 1 Slope = 1/1 y-intercept= -3 y-intercept= +1 Slope = 3/-1 The solution is the point they cross at (1,- 2)

The solution is the point they cross at (1,2) y =-2x + 4 & y = 2x + 0 Slope = 2/-1 y-intercept= 4 y-intercept= 0 Slope = 2/1

Graph y = x -3 y = x + 2 Solution= none

N UMBER OF S OLUTIONS OF A L INEAR S YSTEM I DENTIFYING T HE N UMBER OF S OLUTIONS y x y x Lines intersect one solution Lines are parallel no solution y x Lines coincide infinitely many solutions

Change to y = mx + b

y = -1/2x + 7/2 y = -x + 1 (-5,6) 7/2 = 3 1/2 Notice the intersection is at a single point.

Name the Solution (3,-1)

Name the Solution (2,1)

Name the Solution (-2, -4)

Key Skills Solve a system of two linear equations in two variables graphically –246–4 x y 6 –2 –4 –6 No solution, why? y = 2x + 2 y = 2x + 4 Because the 2 lines have the same slope.

Homework Come up with one problem on your own. –Write two equations….one in slope-intercept form and one in standard form. –Solve the one in standard form for y. –Graph both and give the solution.