Warm-Up 1. Put in slope-intercept form: 3x – 4y = -12

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Presentation transcript:

Warm-Up 1. Put in slope-intercept form: 3x – 4y = -12 2. Graph the line: y = -1/2 x + 3

Homework Questions???

DAILY CHECK!

Daily Essential Question: How do I solve a system of Linear equations using the graphing method?

System of 2 linear equations: 2 equations with 2 variables (x & y) each. Ax + By = C Dx + Ey = F Solution of a System – an ordered pair, (x,y) that makes both equations true.

Ex: Check whether the ordered pairs are solutions of the system: Ex: Check whether the ordered pairs are solutions of the system: x - 3y = -5 -2x + 3y = 10 (-5,0) -5-3(0)= -5 -5 = -5 -2(-5)+3(0)=10 10=10 Solution (1,4) 1-3(4)= -5 1-12= -5 -11 = -5 *doesn’t work in the 1st eqn, no need to check the 2nd. Not a solution.

Solving a System Graphically Graph each equation on the same coordinate plane. If the lines intersect: The point (ordered pair) where the lines intersect is the solution.

~CHECK~ Ex 1: Solve the system graphically: y = 3x – 12 y = -2x + 3 (3, -3) ~CHECK~

~CHECK~ Ex 2: Solve the system graphically: y = - x – 2 y = 2/3 x + 3 (-3,1) ~CHECK~

Ex 3: Solve the system graphically: y = x + 4 y = -x + 2 (-1,3) ~CHECK~

Ex 4: Solve graphically: x – y = 5 2x + 2y = 10 (5,0) ~CHECK~

Homework Finish Worksheet!