Coordinate Geometry - The Line Flashcards

1
Q

What is (0,0)?

A

The origin

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

What are Quadrants shortened as?

A

Q (number)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

What are other words for midpoint (of a line segment)?

A

Middle of the line, centre point or halfway point

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

What does the midpoint do?

A

It divides the segment into 2 equal parts

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q

What is the formula for midpoint?

A

(x1,x2)
+(y1,y2)
divide answer by 2

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q

What does the line segment start and end with?

A

A point

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

What is the distance (between 2 points) formula?

A

√(x2-x1)² + (y2-y1)²

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q

What is the symbol for distance?

A

|(letter letter)|

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q

What is surd form?

A

√(number)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q

If there aren’t any units then what do you write?

A

units

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q

What should you always round your number to unless stated otherwise?

A

To 3 decimal places

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q

To measure the slope of a line using a graph what formula should you use?

A

m=rise
run

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q

What is the formula for finding a slope of a line without a graph?

A

m=y2-y1
x2-x1

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q

What should you always check on a slope’s line before writing down your answer?

A

If the line is decreasing or increasing

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

What does it means if the slopes are the same/ equal?

A

They’re parallel

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

What is the symbol for parallel lines?

A

|
| |

17
Q

What do perpendicular lines not have?

A

The same slope

18
Q

What should the answer of a perpendicular line look like?

A

The reciprocal of one another with 1 slope being negative

19
Q

What is the formula to check your answers for perpendicular lines are correct?

A

m1 x m2= -1

20
Q

What is the symbol for perpendicular lines?

A

|
___

21
Q

What are the 3 formulas to show the equation for a line?

A
  1. y-y1=m(x-x1)
  2. ax+by=c
  3. ax+by+c=0
22
Q

What should there not be in formulas to find the equation of a line?

A

Fractions

23
Q

What do you need to look out for on graphs?

A

The intervals it’s going in

24
Q

What formulas are used to find the equation of a line?

A
  1. y-y1=m(x-x1)
  2. y (<– y-intercept) =mx+c
25
Q

What is the y-intercept?

A

Where your lines crosses the y-axis

26
Q

How do you verify a point is on a line?

A

Sub the point into the line

27
Q

What should the x and y values do?

A

Satisfy the equation

28
Q

What should you write after mathematically verifying a point is on a line?

A

Point is on the line