MENU REVIEW QUIZ EQUATIONS OF A STRAIGHT LINE >> GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A...
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MENU REVIEW QUIZ EQUATIONS OF A STRAIGHT LINE >> GRADIENT OF A LINE THROUGH TWO POINTS EXERCISE GRADIENT OF PARALLEL 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)
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Transcript of MENU REVIEW QUIZ EQUATIONS OF A STRAIGHT LINE >> GRADIENT OF A LINE THROUGH TWO POINTS GRADIENT OF A...
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EQUATIONS OF A STRAIGHT LINE
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GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OF A LINETHROUGH TWO POINTS
EXERCISEEXERCISE
GRADIENT OFPARALLEL LINESGRADIENT OF
PARALLEL LINES
GRADIENT OFPERPENDICULAR LINES
GRADIENT OFPERPENDICULAR LINES
LINE’S EQUATIONSLINE’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)
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EQUATIONS OF A STRAIGHT LINE
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GRADIENT OFPARALLEL LINESGRADIENT OF
PARALLEL LINES
LINE’S EQUATIONSLINE’S EQUATIONS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OFPERPENDICULAR LINES
GRADIENT OFPERPENDICULAR LINES
EXERCISEEXERCISE
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).
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EQUATIONS OF A STRAIGHT LINE
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GRADIENT OFPARALLEL LINESGRADIENT OF
PARALLEL LINES
LINE’S EQUATIONSLINE’S EQUATIONS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OFPERPENDICULAR LINES
GRADIENT OFPERPENDICULAR LINES
EXERCISEEXERCISE
The parallel lines have the same gradient
If known lines with similar gradient, then
the lines must be parallel
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EQUATIONS OF A STRAIGHT LINE
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GRADIENT OFPERPENDICULAR LINES
GRADIENT OFPERPENDICULAR LINES
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OFPARALLEL LINESGRADIENT OF
PARALLEL LINES
EXERCISEEXERCISE
LINE’S EQUATIONLINE’S EQUATION
REVIEWREVIEW
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
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EQUATIONS OF A STRAIGHT LINE
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GRADIENT OFPERPENDICULAR LINES
GRADIENT OFPERPENDICULAR LINES
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OFPARALLEL LINESGRADIENT OF
PARALLEL LINES
EXERCISEEXERCISE
The multiple gradient result of
perpendicular lines is = -1
LINE’S EQUATIONLINE’S EQUATION
REVIEWREVIEW
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EQUATIONS OF A STRAIGHT LINE
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LINE’S EQUATIONSLINE’S EQUATIONS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OFPARALLEL LINESGRADIENT OF
PARALLEL LINES
EXERCISEEXERCISE
1. Line equation in the expression of y = mx
GRADIENT OFPERPENDICULAR LINES
GRADIENT OFPERPENDICULAR 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
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Example:
a.y = 5x
b.y = -6x
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EQUATIONS OF A STRAIGHT LINE
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LINE’S EQUATIONSLINE’S EQUATIONS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OFPARALLEL LINESGRADIENT OF
PARALLEL LINES
EXERCISEEXERCISE
2. Line equation in the expression of y = mx+c
GRADIENT OFPERPENDICULAR LINES
GRADIENT OFPERPENDICULAR 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
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EQUATIONS OF A STRAIGHT LINE
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LINE’S EQUATIONSLINE’S EQUATIONS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OFPARALLEL LINESGRADIENT OF
PARALLEL LINES
EXERCISEEXERCISE
1. Determine the Line with Gradient m and Through a Point
GRADIENT OFPERPENDICULAR LINES
GRADIENT OFPERPENDICULAR 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)
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EQUATIONS OF A STRAIGHT LINE
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LINE’S EQUATIONSLINE’S EQUATIONS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OF A LINETHROUGH TWO POINTS
GRADIENT OFPARALLEL LINESGRADIENT OF
PARALLEL LINES
EXERCISEEXERCISE
2. Determine the Equation of a Line Through Two Point
GRADIENT OFPERPENDICULAR LINES
GRADIENT OFPERPENDICULAR 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).
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EQUATIONS OF A STRAIGHT LINE
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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)
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EQUATIONS OF A STRAIGHT LINE
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Do the exercise well on your group
GROUP SCORE
100
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EQUATIONS OF A STRAIGHT LINE
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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
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EQUATIONS OF A STRAIGHT LINE
