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Study guide 30 NAME DATE - Study Guide and Intervention PERIOD Writing Linear Equations Forms of Equations Slope-Intercept Form of a Linear Equation y mx b where m is the slope and b is the y-intercept Point-Slope Form of a y - y m x - x where x y are the

NAME DATE - Study Guide and Intervention PERIOD Writing Linear Equations Forms of Equations Slope-Intercept Form of a Linear Equation y mx b where m is the slope and b is the y-intercept Point-Slope Form of a y - y m x - x where x y are the coordinates of a point on the line Linear Equation and m is the slope of the line Example Write an equation in slope-intercept form for the line that has slope - and passes through the point Substitute for m x and y in the slope-intercept form y mx b Slope-intercept form - b x y m - - b Simplify b Add to both sides The y-intercept is The equation in slope-intercept form is y - x Exercises Example Write an equation in slope-intercept form for the line that has slope ?? and x-intercept y mx b Slope-intercept form ?? b x y m ?? ?? b Simplify ?? b Subtract ?? from both sides The y-intercept is - ?? The slope-intercept form is y ?? x - ?? Write an equation in slope-intercept form for the line described slope - passes through - slope ?? y-intercept slope passes through slope - ?? passes through - Write an equation in slope-intercept form for each graph y - O x y - O x - y - - - O - x ? - Copyright ? Glencoe McGraw-Hill a division of The McGraw-Hill Companies Inc Lesson - Chapter Glencoe Algebra CNAME DATE PERIOD - Study Guide and Intervention continued Writing Linear Equations Parallel and Perpendicular Lines Use the slope- intercept or point-slope form to ?nd equations of lines that are parallel or perpendicular to a given line Remember that parallel lines have equal slope The slopes of two perpendicular lines are negative reciprocals that is their product is - Example Write an equation of the line that passes through and is perpendicular to the line whose equation is y - ?? x The slope of the given line is - ?? Since the slopes of perpendicular lines are negative reciprocals the slope of the perpendicular line is Use the slope and the given point to write the equation y - y m x - x y - x - y - x - Point-slope form x y m Distributive Prop y x - Add to each side An equation of the line is y x - Example Write an equation of the line that passes through - and is parallel to the graph of y x The slope of the given line is Since the slopes of parallel lines are equal the slope of the parallel line is also Use the slope and the given point to write the equation y -y m x - x y - x - - y - x Point-slope form x y - m Distributive Prop y x Add to each side An equation of the line is y x Exercises Write an equation in slope-intercept