Presentation on theme: "y = mx + b What does the m and b represent?"— Presentation transcript:
1y = mx + b What does the m and b represent? Y-int Slope Formy = mx + bWhat does the m and b represent?
2Exploring the m Equation → y = 2x + 8 We already know that in a table of values for a linear relationship a pattern will form. This pattern is the rate of change.XY-24-168110212Pattern → up by 2Equation → y = 2x + 8
3Exploring the m Equation → y = -3x + 1 What is the pattern? X Y -2 7 -1412-5Pattern → down by 3What is the equation?Equation → y = -3x + 1
52 = m 3 Exploring the m What do you notice? What is the slope? 3 3 2 1 Equation:23m=What do you notice?3321Equation:
6Calculate the slope for each line What is the equation?m=46y=23xm=23-4m=42464m=2152m=5-4y=21xy=5-4x
7What does the m represent? The m represents the slope of the line.Describes how steep the line isThe numerator tells us to go up or down (RISE)The denominator tells us to go RIGHT (RUN)If the numerator is positive we go upIf the numerator is negative we go downTells you the pattern in a table of values