University:
Winston-Salem Forsyth County Schools
Course:
AP Calculus AB
Academic year:

2010
Views:

341

Pages:

12
Author:

Jaeden Lucero

Homework Review: Complete Lesson 5-4 Extra Practice if you did not complete it in class today! AND pg. 310 #25 - 30; #37 - 44 2 Homework Review: Complete Lesson 5-4 Extra Practice if you did not complete it in class today! AND pg. 310 #25 - 30; #37 - 44 3 EQ: How do we write equations in point-slope form? What do these three terms have in common? Standard Ax + By = C Slope - Intercept y = mx + b Point - Slope y - y1 = m(x - x1) These are all forms of a linear equation! y - y1 = m(x - x1) what is y - that is the y in every linear equation what is y1 - the y value from a given point what is m - is the slope what is x - that is the x in every linear equation what is x1 - the x value from a given point What is the Point-Slope form of an equation that passes through the point (-1, 5) and has a slope of -2? y - 5 = -2(x- -1) y - 5 = -2(x + 1) 4 EQ: How do we write equations in point-slope form? What is the Point-Slope form of an equation that passes through the point (-1, 5) and has a slope of -2? y - 5 = -2(x- -1) y - 5 = -2(x + 1) It is easier to use point slope form of an equation to get to slope-intercept than to use the method we used over the weekend! All you have to do is simplify and solve for y.... y - 5 = -2(x +1) y - 5 = -2x - 2 +5 +5 y = -2x + 3 5 EQ: How do we write equations in point-slope form? What is the point-slope form of the equation of a line that passes through the point (4, 6) and has a slope of 5? y - 6 = 5(x - 4) Change the equation above to slope-intercept form..... y - 6 = 5x - 20 +6 +6 y = 5x -14 What is the point-slope form of the equation of a line that passes through the point (-1, 4) and has a slope of -2? y - 4 = -2(x + 1) Change this to Standard Form (Ax + By = C ...) =y - 4 = -2x -2 +4 +4 y = -2x + 2 +2x +2x 2x + y = 2 6 EQ: How do we write equations in point-slope form? (5, 3) m = 1/2 Point-Slope Form y + 3 = 1 (x -5) 2 Standard Form y - 1/2 x = -5.5 1/2x - y = 5.5 1/2 x - y = 0.5 x + 2y = -5.5 x - 2y = -1 1/2x - y =-1/2 1/2x + y = 5.5 x - 2y = 1 x + 2y = -11 x + 2y = -6.5 x - 2y = 11 x - 2y = -o.5 7 EQ: How do we write equations in point-slope form? (1, 4), m = 5 2 PointSlope Standard 5x + 2y = 3 y + 4 = 5 ( x 1) 2 8 Algebra Thursday December 9, 2010 EQ: How do we find the equation of a line that is parallel or perpendicular to another line? 15 EQ: How do we find the equation of a line that is parallel or perpendicular to another line? 16 EQ: How do we find the equation of a line that is parallel or perpendicular to another line? 17 EQ: How do we find the equation of a line that is parallel or perpendicular to another line? 18 EQ: How do we find the equation of a line that is parallel or perpendicular to another line? Find a line that is PARALLEL to..... and passes through ....... Write your equation in STANDARD FORM.... 1. (3,2) y = x + 5 11. (2,2) 2. (2, 5) y = 4x + 2 3. (4, 6) y = 3/4 x + 1 4. (5, 4) y = 2/5x 2 5. (12, 3) y= 4/3x + 5 6. (3, 1) 2x + y = 5 7. (3, 4) 3y = 2x 3 8. (1, 2) 3x y = 5 9. (8, 2) 5x 4y = 1 10. (1, 4) 9x + 3y = 8 19