EQUATIONS OF A STRAIGHT LINE

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Presentation transcript:

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

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

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

EQUATIONS OF A STRAIGHT LINE MENU REVIEW EXERCISE QUIZ >> Example: GRADIENT OF A LINE THROUGH TWO POINTS Which of the following line equations that are perpendicular lines? GRADIENT OF PARALLEL LINES GRADIENT OF PERPENDICULAR LINES LINE’S EQUATION 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

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

EQUATIONS OF A STRAIGHT LINE MENU REVIEW EXERCISE QUIZ >> 1. Line equation in the expression of y = mx GRADIENT OF A LINE THROUGH TWO POINTS Example: y = 5x y = -6x GRADIENT OF PARALLEL LINES GRADIENT OF PERPENDICULAR LINES LINE’S EQUATIONS 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

EQUATIONS OF A STRAIGHT LINE MENU REVIEW EXERCISE QUIZ >> 2. Line equation in the expression of y = mx+c GRADIENT OF A LINE THROUGH TWO POINTS Example: y = 2x – 1 y = -4x + 6 GRADIENT OF PARALLEL LINES GRADIENT OF PERPENDICULAR LINES LINE’S EQUATIONS 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). NEXT

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

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

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

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

EQUATIONS OF A STRAIGHT LINE Do this problem by your self MENU REVIEW EXERCISE QUIZ >> Do this problem by your self 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 NEXT

EQUATIONS OF A STRAIGHT LINE I LIKE MATHEMATICS