# 8.1 Solving Systems of Linear Equations by Graphing

8.1 Solving Systems of Linear Equations by Graphing EQ HOW CAN YOU SOLVE A SYSTEM OF EQUATIONS BY GRAPHING? A. Recall SLOPE INTERCEPT FORM y = mx + b m= b= B. Graphing Slope-Intercept Form ALWAYS, ALWAYS, ALWAYS Y/X 1.

Graph the y-intercept (0,b) on the y-axis 2. Graph the slope (m) of the line using . Rise/Run (If theres whole number turn it into a fraction C. Vocab System of equations set of equations that have the same variables Solution of a system of equations an ordered

pair to show where the system of equations cross each other. (The point where they meet) The solution MUST work for both equations of the system D. Rewriting to Slope-Intercept Form From ax + by = c: 1. subtract ax from both sides 2. divide both sides by b 3. Rearrange equation to fit => y = mx +b Example {

x 3y = 2 -3x + 9 y = - 6 x 3y = 2 -x -3x + 9y = - 6 -x -3y = 2 x -3 -3 -3 Y = 1/3x - 2/3 +3x

+3x 9y = -6 + 3x 9 9 9 y = 1/3x 2/3 Solving Systems by Graphing Write the equation in slope-intercept form GET Y BY ITSELF

Graph each equation Find the point where the lines intersect Check: Plug the point into both equations to see if it works for both equations e n

O n o i t solu Pg. 228 Example B Infinitely Many Result # of Solutions Graph

What does it look like? x=a 1 Lines Cross a=a Infinite Many Same Line a

0 Lines dont cross Word Problems Standard Form ax + by = c Rewrite both of the equations in slope-intercept form

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