Identifying Graphs of Linear Equations

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Presentation transcript:

Identifying Graphs of Linear Equations Slope m, y-intercept form y = mx + b

Which graph represents: Positive slope Slope m y-intercept Start by identifying the y-intercept. Where does the line cross the y-axis? The variable b represents the y-intercept. Negative slope The line will cross the y-axis at positive 2. Negative slope The variable m represents the slope of the line. The slope of this line is positive 2.

Which graph represents: Positive slope Slope m y-intercept Start by identifying the y-intercept. Where does the line cross the y-axis? The variable b represents the y-intercept. Negative slope Rise -2 The line will cross the y-axis at positive 2. Negative slope Rise -1 Run 2 The variable m represents the slope of the line. Run 1 The slope of this line is negative 2.

Which graph represents: Positive slope y-intercept Slope m Start by identifying the y-intercept. Where does the line cross the y-axis? The variable b represents the y-intercept. The line will cross the y-axis at positive 1. (+1) The variable m represents the slope of the line. Negative slope The slope of this line is positive 1/4.

Which graph represents: Positive slope y-intercept Slope m Start by identifying the y-intercept. Where does the line cross the y-axis? The variable b represents the y-intercept. The line will cross the y-axis at positive 1. (+1) The variable m represents the slope of the line. Negative slope The slope of this line is negative 1/4.

Which graph represents: y-intercept Positive slope Slope m Positive slope Start by identifying the y-intercept. Where does the line cross the y-axis? The variable b represents the y-intercept. The line will cross the y-axis at negative 1. (-1) Negative slope The variable m represents the slope of the line. The slope of this line is positive 1/4.

Which graph represents: Run 2 Negative slope Slope m y-intercept Rise 2 Start by identifying the y-intercept. Where does the line cross the y-axis? The variable b represents the y-intercept. Run 2 The line will cross the y-axis at negative 2. (-2) Negative slope The variable m represents the slope of the line. Rise 3 The slope of this line is positive 1 (identity property of multiplication.)

Identify the equation for each line graphed. Challenge: Identify the equation for each line graphed. y = m x + b y = m x + b y = m x + b y-intercept y-intercept y-intercept Where m = slope; Where m = slope; Where m = slope; Where b = y-intercept Where b = y-intercept Where b = y-intercept