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The graph of linear equation of the form ax+by=c is a line which divides theplane into

Correct answer: C. left and right half planes

  • A. two disjoint regions
  • B. four disjoint regions
  • C. left and right half planes
  • D. four planes

Explanation

The graph of a linear equation of the form + = ax+by=c represents a straight line on the plane. This line divides the plane into two disjoint regions: the left halfplane and the right halfplane. This is because any point on one side of the line satisfies the inequality + < ax+by<c, while any point on the other side satisfies + > ax+by>c.

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About Linear Equations

Linear equations contain variables only to the first power and produce straight-line relationships when represented graphically. Problems involve solving equations with brackets, fractions, and variables on both sides, forming equations from statements, and handling simultaneous linear equations, which differ from quadratic equations by having no squared variable.

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