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Characteristics of the graph of the equation

User Ikdemm
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Final answer:

The characteristics of the graph of a linear equation of the form y = a + bx include a straight line shape, the slope and y-intercept, and the graph's orientation.

Step-by-step explanation:

The characteristics of the graph of a linear equation of the form y = a + bx include:

  • A straight line shape
  • The slope of the line determined by the coefficient b
  • The y-intercept determined by the constant term a
  • The graph's orientation (increasing or decreasing) based on the sign of b

For example, if we have the equation y = 2x + 3, the graph will be a straight line with a slope of 2 and a y-intercept of 3. The line will be increasing as x increases. If the equation was y = -1.5x - 2, the line would have a slope of -1.5 and a y-intercept of -2, and it would be decreasing as x increases.

User Shaun Barney
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