Slide 1

What is slope intercept form? What are parallel lines? What is point slope form? What is standard form? Warm up Slide 2 Slope Intercept Form of a line The linear equation y = mx + b is written in slope- intercept form, where m is the slope and b is the y- intercept Y=mx + b Slope = m Y-intercept = b Slide 3 Find the Slope and y-intercept of the following equations in slope intercept form Y= 4x + 7 Y= 6x -3 Y= -4x +3 Slide 4 Graph Graph the equation Y = -3x + 2 Slide 5 Parallel lines What are parallel lines? How would you draw them? What kind of slopes would they have? What kind of y intercepts would they have? Slide 6 Parallel Lines Parallel lines are different lines in the same plane that never intersect. Two lines are parallel if they have the same _____ and different ______________. Slide 7 Parallel lines What would the slope and y-intercept have to be for a line to parallel to the following lines. y = 4x 5 y = -2x + 3 Slide 8 Parallel lines Which of the following lines are parallel? y = 2x + 3 y = -2x + 3 y = 2x -2 Which of the following lines are parallel? y = 4x + 5 y = -3x + 5 y = -3x + 4 Slide 9 Graph the lines how do you know for certain if the lines are parallel? Graph the equation Y = -3x + 2 Y = -3x -3 Slide 10 Graph the lines how do you know for certain if the lines are parallel? Graph the equation Y = 2x + 3 Y = 2x -4 Slide 11 Parallel lines Which of the following lines are parallel? 3y = -9x -5 2y 6x = -5 12x + 4y = 1 Which of the following lines are parallel? 3x + 2y =6 3x -2y = 6 6x + 4y = 6 Slide 12 Parallel Lines What kind of slopes do parallel lines have? What kind of y-intercepts do parallel lines have? Why do parallel lines have the same slope? Why do parallel lines have different y- intercepts? Slide 13 Perpendicular lines What are perpendicular lines? How would you draw them? What kinds of slopes would perpendicular lines have? Slide 14 Perpendicular lines Two lines in a plane are perpendicular if their slopes are ___________ ___________. Their y-intercepts can be the same or different. opposite (flip the sign) reciprocal (flip the fraction) Slide 15 Perpendicular lines What would the slope need to be for a line to be perpendicular to the following lines? y = x + 3 y = -3x -2 Slide 16 Perpendicular lines What would the slope need to be for a line to be perpendicular to the following lines? y = - x + 7 y = 6x -4 Slide 17 Perpendicular lines Determine whether the lies are perpendicular y = 3x + 2 y = -3x -1 y = x - 4 y = -5x + 3 Slide 18 Perpendicular lines Determine whether the lies are perpendicular y = 2x + 3 y = 2x -1 y = x - 2 y = -8x + 1 Slide 19 Graph the lines how do you know for certain if the lines are perpendicular? Graph the equation Y = -3x + 2 Y = 1/3x -3 Slide 20 Graph the lines how do you know for certain if the lines are perpendicular? Graph the equation Y = 2x + 3 Y = -1/2x + 2 Slide 21 Perpendicular lines Which of the following lines are perpendicular? 3y = -9x -5 6y 2x = -5 12x + 4y = 1 Which of the following lines are perpendicular? 3x + 2y =6 3x -2y = 6 6x + 4y = 6 Slide 22 Perpendicular lines What kind of slopes do parallel lines have? What kind of y-intercepts do parallel lines have? Why do parallel lines have the same slope? Why do parallel lines have different y-intercepts? What kind of slopes do perpendicular lines have? What kind of y-intercepts do perpendicular lines have? What does opposite reciprocal mean? Slide 23 Finding equations Find the Equation for the line described Passes through point (2, 4) parallel to y = 2x 5 Passes through point (-3, 2) perpendicular to y = -1/3x + 2 Slide 24 Finding equations Find the Equation for the line described Passes through point (-4, 5) parallel to y = -3x + 2 Passes through point (2, 4) perpendicular to y = 2x + 2