1. EQUATIONS OF A STRAIGHT LINE
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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)

2. EQUATIONS OF A STRAIGHT LINE
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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).
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3. EQUATIONS OF A STRAIGHT LINE
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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

4. EQUATIONS OF A STRAIGHT LINE
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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
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5. EQUATIONS OF A STRAIGHT LINE
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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

6. EQUATIONS OF A STRAIGHT LINE
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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).
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7. EQUATIONS OF A STRAIGHT LINE
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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).
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8. EQUATIONS OF A STRAIGHT LINE
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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
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9. EQUATIONS OF A STRAIGHT LINE
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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

10. EQUATIONS OF A STRAIGHT LINE
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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

11. EQUATIONS OF A STRAIGHT LINE
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Do the exercise well on your group
GROUP SCORE
100

12. EQUATIONS OF A STRAIGHT LINE Do this problem by your self
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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
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13. EQUATIONS OF A STRAIGHT LINE
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