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21 Cards in this Set
- Front
- Back
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Ch 7 - 4
The general form of the equation of a straight line |
ax + by + c = 0
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Ch 7 - 5
Gradient-intercept form of the equation of a straight line |
y = mx + b
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Ch 7 - 6
Point-gradient form of the equation of a straight line |
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Ch 7 - 7
Two lines with gradients m1 and m2 are parallel if |
If lines are parallel then
m1 = m2 |
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Ch 7 - 8
Two lines with gradients m1 and m2 are perpendicular if |
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Ch 7 - 9
The gradient of ax + by + c = 0 is |
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Ch 7 - 10
Find the equation of the line parallel to 3x + 4y - 2 = 0 and passing through (1, -1) |
Equation is 3x + 4y + k = 0. Substitute the point to find k (= 1) then substitute value for k.
3x + 4y + 1 = 0. |
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Ch 7 - 11
Find the equation of the line perpendicular to 3x + 4y - 2 = 0 and passing through (1, -1) |
Equation is 4x - 3y + k = 0. Substitute the point to find k (= -7) then substitute value for k.
3x + 4y – 7 = 0. |
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Ch 7 - 12
Find the equation of the line parallel to y = 3x – 2 and passing through (2, -2) |
Equation is y = 3x + b.
Substitute the point to find k (= -8) then substitute value for k. y = 3x – 8 [or use point gradient form] |
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Ch 7 - 13
Find the equation of the line perpendicular to y = 3x – 2 and passing through (2, -2) |
Equation is y = -⅓x + b.
Substitute the point to find k (= -1⅔) then substitute value for k. y = -⅓x – 1⅔ [or use point gradient form] |
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Ch 7 - 14 |
Find the gradient between any two pairs of points. If these two gradients are the same then the points are collinear
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Ch 7 - 15
To show that three lines are concurrent (pass through the same point) |
Find the point of intersection of two of the lines (by solving equations simultaneously) and check that this point lies on the third line.
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