Straight lines what you should know- Flashcards

1
Q

What is the gradient of a horizontal line?

A

m=0

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2
Q

What is the equation of a horizontal line

A

y=b

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3
Q

Equation of the x axis?

A

y=0

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4
Q

Gradient of a vertical line

A

m is undefined

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5
Q

Equation of a vertical line

A

x=a

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6
Q

Equation of y axis

A

x=0

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7
Q

Gradient formula

A

y2-y1/x2-x1

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8
Q

How to find equation of a straight line?

A

Have a point on the line and the gradient of said line and put in the equation y-b =m(x-a)

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9
Q

How to find gradient of straight line when equation is known?

A

Rearrange formula y=mx+c

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10
Q

How to find size of the angle between a straight line and the x axis

A

Use equation m=tanØ

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11
Q

Rule for parallel lines

A

m1=m2

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12
Q

Rule for perpendicular lines

A

m x m perpendicular = -1

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13
Q

How to find point of intersection between two straight lines

A

Use simultaneous equations between the two equations or use y=y and solve

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14
Q

What does it mean if three points are collinear

A

They lie in a straight line

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15
Q

How do you show points A,B and C are collinear

A

Show that mAB = mBC and since B is a common points they are said to be collinear.

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16
Q

What is a perpendicular bisector ?

A

A line which bisects (cuts in half) a line at a right angle to the line.

17
Q

What is a median of a triangle?

A

A line drawn from a corner of the triangle to the midpoint of the opposite line.

18
Q

What is the altitude of a triangle?

A

A line drawn from one corner to the opposite side where it meets at right angles.