True or False?
To get to from the origin, you go 3 up and 2 to the left.
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True or False?
To get to from the origin, you go 3 up and 2 to the left.
False.
To get to from the origin, you go 3 to the right and 2 down.
What is the x-coordinate of any point that is vertically above ?
Any point that is vertically above will have an x-coordinate of 3.
Is the point above or below the x-axis?
The point is below the x-axis because the y-coordinate is negative.
True or False?
The x-coordinate of any point on the y-axis is 0.
True.
The x-coordinate of any point on the y-axis is 0. This is why the y-axis has the equation .
State an expression for the coordinates of the midpoint between and .
The midpoint between and is given by the expression .
What does the gradient of a line measure?
The gradient of a line measures the steepness of the line.
True or False?
A line with a gradient of -4 is steeper than a line with a gradient of -5.
False.
A line with a gradient of -5 is steeper than a line with a gradient of -4. The steeper line is the one with the bigger gradient value when you ignore negative signs.
True or False?
The gradient of a line is equal to .
True.
The gradient of a line is equal to .
State the formula for the gradient of the line that passes through and .
The formula for the gradient of the line that passes through and is given by .
The formula will also give the gradient.
True or False?
A positive gradient means the line goes upwards from bottom left to top right.
True.
A positive gradient means the line goes upwards from bottom left to top right.
True or False?
The gradient of the line which passes through and can be found by calculating .
False.
The gradient of the line which passes through and can not be found by calculating . The order needs to be consistent. If the second coordinate is used first for the coordinates, then the second coordinate should be used first for the coordinate. It should be either or .
State the formula for the length of the line segment between and .
The formula for the length of the line segment between and is .
This is just using Pythagoras' theorem on the line segment between the two points.
True or False?
The length of the line segment between and can be found by calculating .
False.
The length of the line segment between and can not be found by calculating . Each bracket should be the difference between the values or the values.
It should be .