linear function and linear graph, Summaries of Mathematics

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• What is Linear Function? How to graph a linear function without computer? Linear Functions with m= 2 Linear Functions with m= 1 Linear Functions with m= 0

• Linear Function: a linear function is a function whose graph is a straight line, that is, a polynomial function of degree zero or one For example: 𝑦 = 2 𝑥 + 1 m= 2 and b= 1

the slope of the line y-intercept of the line

How to graph a linear function without computer? to graph a line, we just need any two points on it. If we find two points, then we can just join them by a line and extend it on both sides

To find the slope ( m) from the graph, do the following: 𝑦 1 = 1 𝑦 2 = 3 𝑥 1 = 0 𝑥 2 = 1

Let’s graph these functions: Linear Functions with m= 2 What happens if we change b

• Linear Functions with m=
  • 𝑦 = 𝑥 𝑦 = 𝑥 + 1 𝑦 = 𝑥 −
• Linear Functions with m=
  • 𝑦 = −
    • 𝑦 = +