2. MENU REVIEW QUIZ EQUATIONS OF A STRAIGHT LINE >> GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A LINE THROUGH TWO POINTS EXERCISE GRADIENT OF PARALLEL LINES GRADIENT OF PARALLEL LINES GRADIENT OF PERPENDICULAR LINES GRADIENT OF PERPENDICULAR LINES LINE’S EQUATIONS If a line through points and Then the gradient of the line is Example: Determine the gradient of a segment in line that connecting points A(-2,-5) and B(-4,3)

3. MENU REVIEW QUIZ EQUATIONS OF A STRAIGHT LINE >> GRADIENT OF PARALLEL LINES GRADIENT OF PARALLEL LINES LINE’S EQUATIONS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF PERPENDICULAR LINES GRADIENT OF PERPENDICULAR LINES EXERCISE Example: 1.Which of the following line equations that are parallel lines? 2. Determine the equation of a line that is parallel to line y = 3x + 5 and through point A(2,4). NEXT

4. MENU REVIEW QUIZ EQUATIONS OF A STRAIGHT LINE >> GRADIENT OF PARALLEL LINES GRADIENT OF PARALLEL LINES LINE’S EQUATIONS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF PERPENDICULAR LINES GRADIENT OF PERPENDICULAR LINES EXERCISE  The parallel lines have the same gradient  If known lines with similar gradient, then the lines must be parallel

5. MENU QUIZ EQUATIONS OF A STRAIGHT LINE >> GRADIENT OF PERPENDICULAR LINES GRADIENT OF PERPENDICULAR LINES GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF PARALLEL LINES GRADIENT OF PARALLEL LINES EXERCISE LINE’S EQUATION REVIEW Example: 1.Which of the following line equations that are perpendicular lines? 2.a. Calculate gradient of line AB if A(-3,4) and B(1,6). b. Determine the gradient of a line h, if known line h is perpendicular to line AB NEXT

6. MENU QUIZ EQUATIONS OF A STRAIGHT LINE >> GRADIENT OF PERPENDICULAR LINES GRADIENT OF PERPENDICULAR LINES GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF PARALLEL LINES GRADIENT OF PARALLEL LINES EXERCISE The multiple gradient result of perpendicular lines is = -1 LINE’S EQUATION REVIEW

7. MENU QUIZ EQUATIONS OF A STRAIGHT LINE >> LINE’S EQUATIONS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF PARALLEL LINES GRADIENT OF PARALLEL LINES EXERCISE 1. Line equation in the expression of y = mx GRADIENT OF PERPENDICULAR LINES GRADIENT OF PERPENDICULAR LINES Definition: A line equation in the expression of y =mx is an equation line that has a gradient of m and through point O(0,0). NEXT REVIEW Example: a.y = 5x b.y = -6x

8. MENU QUIZ EQUATIONS OF A STRAIGHT LINE >> LINE’S EQUATIONS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF PARALLEL LINES GRADIENT OF PARALLEL LINES EXERCISE 2. Line equation in the expression of y = mx+c GRADIENT OF PERPENDICULAR LINES GRADIENT OF PERPENDICULAR LINES Definition: Line equation in the expression of y =mx+c is a line that has a gradient of m and intecept the Y-axis on point (0,c). Example: a.y = 2x – 1 b.y = -4x + 6 REVIEW NEXT

9. MENU QUIZ EQUATIONS OF A STRAIGHT LINE >> LINE’S EQUATIONS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF PARALLEL LINES GRADIENT OF PARALLEL LINES EXERCISE 1.Determine the Line with Gradient m and Through a Point GRADIENT OF PERPENDICULAR LINES GRADIENT OF PERPENDICULAR LINES Definition: The equation of a line through (x1,y1) and has gradient m is Example: Determine the line equation that has gradient 6 and through point (1,2) REVIEW NEXT

10. MENU QUIZ EQUATIONS OF A STRAIGHT LINE >> LINE’S EQUATIONS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF PARALLEL LINES GRADIENT OF PARALLEL LINES EXERCISE 2. Determine the Equation of a Line Through Two Point GRADIENT OF PERPENDICULAR LINES GRADIENT OF PERPENDICULAR LINES Definition: The equation of a line through two points (x1,y1) and (x2,y2) is Example: Determine the line equation that passes through points (0,4) and (-3,-1). REVIEW

11. MENU EXERCISE REVIEW QUIZ EQUATIONS OF A STRAIGHT LINE >> Do the exercise well GROUP SCORE 100 2. Determine the equation of line g that is through point (4,3) and perpendicular to line h that through points A(-4,4) and B(-2,5). 1.Determine the equation of line p that is parallel to line y – 3x + 4 = 0 and through point (2,-3)

12. MENU EXERCISE REVIEW QUIZ EQUATIONS OF A STRAIGHT LINE >> Do the exercise well on your group GROUP SCORE 100

13. MENU QUIZ REVIEW EXERCISE EQUATIONS OF A STRAIGHT LINE >> 1.Determine the equation of line p that is parallel to line y – 2x - 3 = 0 and through point (3,5) 2. Determine the equation of line g that is through point (8,2) and perpendicular to line that through points A(-2,4) and B(-3,6). INDIVIDUAL SCORE 100 Do this problem by your self NEXT

14. EQUATIONS OF A STRAIGHT LINE