Coordinate Geometry - The Line Flashcards
What is (0,0)?
The origin
What are Quadrants shortened as?
Q (number)
What are other words for midpoint (of a line segment)?
Middle of the line, centre point or halfway point
What does the midpoint do?
It divides the segment into 2 equal parts
What is the formula for midpoint?
(x1,x2)
+(y1,y2)
divide answer by 2
What does the line segment start and end with?
A point
What is the distance (between 2 points) formula?
√(x2-x1)² + (y2-y1)²
What is the symbol for distance?
|(letter letter)|
What is surd form?
√(number)
If there aren’t any units then what do you write?
units
What should you always round your number to unless stated otherwise?
To 3 decimal places
To measure the slope of a line using a graph what formula should you use?
m=rise
run
What is the formula for finding a slope of a line without a graph?
m=y2-y1
x2-x1
What should you always check on a slope’s line before writing down your answer?
If the line is decreasing or increasing
What does it means if the slopes are the same/ equal?
They’re parallel
What is the symbol for parallel lines?
|
| |
What do perpendicular lines not have?
The same slope
What should the answer of a perpendicular line look like?
The reciprocal of one another with 1 slope being negative
What is the formula to check your answers for perpendicular lines are correct?
m1 x m2= -1
What is the symbol for perpendicular lines?
|
___
What are the 3 formulas to show the equation for a line?
- y-y1=m(x-x1)
- ax+by=c
- ax+by+c=0
What should there not be in formulas to find the equation of a line?
Fractions
What do you need to look out for on graphs?
The intervals it’s going in
What formulas are used to find the equation of a line?
- y-y1=m(x-x1)
- y (<– y-intercept) =mx+c
What is the y-intercept?
Where your lines crosses the y-axis
How do you verify a point is on a line?
Sub the point into the line
What should the x and y values do?
Satisfy the equation
What should you write after mathematically verifying a point is on a line?
Point is on the line
