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