Three Forms of an Equation of a Line

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Presentation transcript:

Three Forms of an Equation of a Line 3.3 – The Equation of a Line Three Forms of an Equation of a Line Slope-Intercept Form: This form is useful for graphing, as the slope and the y-intercept are readily visible. Point-Slope Form: The point-slope form allows you to use ANY point, together with the slope, to form the equation of the line. Standard Form: Note: A, B, and C cannot be fractions or decimals.

3.3 – The Equation of a Line Slope-Intercept Form– requires the y-intercept and the slope of the line. m = slope of line b = y-intercept

3.3 – The Equation of a Line Slope-Intercept Form– requires the y-intercept and the slope of the line. m = slope of line b = y-intercept

3.3 – The Equation of a Line Slope-Intercept Form– requires the y-intercept and the slope of the line. m = slope of line b = y-intercept

3.3 – The Equation of a Line Slope-Intercept Form– requires the y-intercept and the slope of the line. m = slope of line b = y-intercept

3.3 – The Equation of a Line Write an equation of a line given the slope and the y-intercept.

3.3 – The Equation of a Line Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

3.3 – The Equation of a Line Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

3.3 – The Equation of a Line Point-Slope Form – requires the coordinates of a point on the line and the slope of the line.

Writing an Equation Given Two Points 3.3 – The Equation of a Line Writing an Equation Given Two Points 1. Calculate the slope of the line. 2. Select the form of the equation. a. Standard form b. Slope-intercept form c. Point-slope form 3. Substitute and/or solve for the selected form.

3.3 – The Equation of a Line Writing an Equation Given Two Points Given the two ordered pairs, write the equation of the line using all three forms. Calculate the slope. or

3.3 – The Equation of a Line Writing an Equation Given Two Points Point-slope form

Writing an Equation Given Two Points 3.3 – The Equation of a Line Writing an Equation Given Two Points Slope-intercept form

Write the equation of the line (4, 0), (1, 5) m = Point-slope form Slope-intercept form

Write the equation of the line (0, 3), (-4, -1) m = Point-slope form Slope-intercept form

Homework Complete page 16