Equations of Lines; Building Linear Functions January 22, 2007.

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Presentation transcript:

Equations of Lines; Building Linear Functions January 22, 2007

Equation of a Line Vertical line Non-vertical line

What is the equation of a line with slope -4 passing through the point (3,-1)?

Find the equation of the line passing through the points (4,2) and (5,-2).

General Form of a Linear Equation

Parallel Lines Two nonvertical lines are parallel if and only if their slopes are equal and they have different y-intercepts.

Find the equation of the line parallel to 3x+4y=8 containing the point (-1,1)

Perpendicular lines Special case – horizontal & vertical Two non-vertical lines are perpendicular if and only if the product of their slopes is -1.

Find the equation of a line perpendicular to 4x-y=8 through the point (2,0)

Secant Line

Find the slope of the secant line of in terms of x and h.