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Graphing Linear EquationsGraphing Linear Equations
Linear Equations can be graphed onLinear Equations can be graphed on
a Cartesian Coordinate systema Cartesian Coordinate system
x-axis
y-axis
Cartesian Coordinate systemCartesian Coordinate system
Quadrant IQuadrant II
Quadrant III Quadrant IV
x-axis
y-axis
Origin
All points on a graph are plotted by firstAll points on a graph are plotted by first
finding the x-coordinate and then thefinding the x-coordinate and then the
y-coordinatey-coordinate
All points are written in the form ( x , y )All points are written in the form ( x , y )
You always graph a point starting fromYou always graph a point starting from
thethe OriginOrigin
Quadrant IQuadrant II
Quadrant III Quadrant IV
x is positive
y is positive
x is negative
y is positive
x is negative
y is negative
x is positive
y is negative
Point (3,5)
In order to graph a line, you need toIn order to graph a line, you need to
know either:know either:
A point and theA point and the
Slope of the lineSlope of the line
Two points on theTwo points on the
lineline
OROR

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Graphing lines

  • 1. Graphing Linear EquationsGraphing Linear Equations Linear Equations can be graphed onLinear Equations can be graphed on a Cartesian Coordinate systema Cartesian Coordinate system
  • 3. Quadrant IQuadrant II Quadrant III Quadrant IV x-axis y-axis Origin
  • 4. All points on a graph are plotted by firstAll points on a graph are plotted by first finding the x-coordinate and then thefinding the x-coordinate and then the y-coordinatey-coordinate All points are written in the form ( x , y )All points are written in the form ( x , y ) You always graph a point starting fromYou always graph a point starting from thethe OriginOrigin
  • 5. Quadrant IQuadrant II Quadrant III Quadrant IV x is positive y is positive x is negative y is positive x is negative y is negative x is positive y is negative
  • 7. In order to graph a line, you need toIn order to graph a line, you need to know either:know either: A point and theA point and the Slope of the lineSlope of the line Two points on theTwo points on the lineline OROR