IB Math Studies – Straight lines
1. IB Mathematics Studies, Distance between two points
How can we find the distance between two points A(12,4) and B(-10,8)?
Solution
IB Mathematical Studies, Coordinate geometry
The distance between two points and
is given by the following formula:
Applying the above formula in our case we have
2. IB Mathematical Studies, Coordinate geometry
How can we find the parameter c if these A(4,c) and B(-2,3) are 6 units apart?
Solution
IB Maths Studies, Coordinate geometry, Distance Formula
The distance between two points and
is given by the following formula:
Applying the Distance formula in your case we have
(by squaring both sides)
3. IB Math Studies, Coordinate geometry, Gradient of a line
How can we find the slope of the line passes through these points A(-3,6) and B(2,5)?
Solution
IB Math Studies, Coordinate geometry, Gradient of a line
the slope of the line passes through two points
and
is given by the following formula:
Applying the above formula we can find the slope of the line
4. IB Math Studies, slope of a line, perpendicular and parallel lines
How can we find the slope of the line which is perpendicular to the line ?
Solution
IB Mathematical Studies, gradient of a line, perpendicular and parallel lines
If two lines are perpendicular their slopes are negative reciprocals and if two lines are parallel have equal slopes.
Regarding your question about the gradient of the line which is perpendicular to the line ,
Let be the required slope then we have the following relation
5. IB Math studies, midpoint formula
How can we find the coordinates of the midpoint of line segment AB where A(1,-5) and B(12,-3) ?
Solution
Midpoint formula, IB Math studies
The coordinates of the midpoint of a line segment defined by the points and
is given by the following formula:
Applying the midpoint formula in our case we have the following:
Midpoint of a Segment
The Distance Formula