How Can We Represent Linear Equations Graphically?
Answer (1)
To represent a linear equation graphically:
- Convert the equation to the form y=mx+c.
- Find at least two points by substituting values for x and y calculating.
- Plot the points on a Cartesian plane.
- Draw a straight line passing through the points.
- The lines intersect at a single point. In this case, the pair of equations has a unique solution.
- The parallel lines. In this case, the equations have no solution.
- The coincident lines. In this case, the equations have infinitely many solutions.
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