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Graphing Linear Equations to Find Solutions Graph1 - Coggle Diagram
Graphing Linear Equations to Find Solutions
Slope-Intercept Form
slope
m = (y2-y1)/(x2-x1)
y-intercept
(0,b)
x=0, y-intercept=b
Point-Slope Form
y-y1=m(x-x1)
Choose any (x,y) along the line
Identical Lines
Infinite Solutions
Same Slope, Same y-intercept
Parallel Lines
Parallel lines never intersect
Same Slopes
No Solution
Intersection at (x,y)
This (x,y) makes all the equations true
(x,y) is the solution
