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Coordinate geometry basics - MYP Questionbank | RevisionDojo

Practice Coordinate geometry basics with authentic MYP MYP Standard Mathematics exam questions for both SL and HL students. This question bank mirrors Paper 1, 2, 3 structure, covering key topics like core principles, advanced applications, and practical problem-solving. Get instant solutions, detailed explanations, and build exam confidence with questions in the style of MYP examiners.

Type

Difficulty

Question 1

If the distance between point $A(1, 2)$ and point $B(4, y)$ is exactly $5$ units, what are the possible values for the $y$ -coordinate?

Question 2

True or False: The midpoint $M$ of a line segment $AB$ is the only point on the infinite line passing through $A$ and $B$ that is equidistant from both endpoints $A$ and $B$ .

Question 3

A line passes through $(2, 10)$ and $(5, 4)$ . Which of the following describes the nature of its gradient?

Question 4

If $M$ is the midpoint of the segment $AB$ , which of the following statements must be true regarding the distances $AM$ and $AB$ ?

Question 5

The $x$ -intercept of the line given by the point-gradient equation $y - 3 = -2(x - 5)$ is

Question 6

A line $L$ is defined by the equation $2x - 5y + 10 = 0$ .

Find the gradient of any line perpendicular to $L$ .

Question 7

Point $P(2, -4)$ is rotated $90^\circ$ clockwise about the origin to produce point $P'$ . What is the gradient of the line segment connecting $P$ and $P'$ ?

Question 8

For the line $y = kx - 1$ to be parallel to $3x + y = 2$ , the value of $k$ is

Question 9

The gradient of a line that is perpendicular to the horizontal line $y = 10$ is ________.

Question 10

Which of the following is the equation of the line passing through the points $(5, -1)$ and $(5, 10)$ ?

Type

Difficulty

Question 1

If the distance between point $A(1, 2)$ and point $B(4, y)$ is exactly $5$ units, what are the possible values for the $y$ -coordinate?

Question 2

True or False: The midpoint $M$ of a line segment $AB$ is the only point on the infinite line passing through $A$ and $B$ that is equidistant from both endpoints $A$ and $B$ .

Question 3

A line passes through $(2, 10)$ and $(5, 4)$ . Which of the following describes the nature of its gradient?

Question 4

If $M$ is the midpoint of the segment $AB$ , which of the following statements must be true regarding the distances $AM$ and $AB$ ?

Question 5

The $x$ -intercept of the line given by the point-gradient equation $y - 3 = -2(x - 5)$ is

Question 6

A line $L$ is defined by the equation $2x - 5y + 10 = 0$ .

Find the gradient of any line perpendicular to $L$ .

Question 7

Point $P(2, -4)$ is rotated $90^\circ$ clockwise about the origin to produce point $P'$ . What is the gradient of the line segment connecting $P$ and $P'$ ?

Question 8

For the line $y = kx - 1$ to be parallel to $3x + y = 2$ , the value of $k$ is

Question 9

The gradient of a line that is perpendicular to the horizontal line $y = 10$ is ________.

Question 10

Which of the following is the equation of the line passing through the points $(5, -1)$ and $(5, 10)$ ?

Type

Difficulty

Question 1

If the distance between point $A(1, 2)$ and point $B(4, y)$ is exactly $5$ units, what are the possible values for the $y$ -coordinate?

Question 2

True or False: The midpoint $M$ of a line segment $AB$ is the only point on the infinite line passing through $A$ and $B$ that is equidistant from both endpoints $A$ and $B$ .

Question 3

A line passes through $(2, 10)$ and $(5, 4)$ . Which of the following describes the nature of its gradient?

Question 4

If $M$ is the midpoint of the segment $AB$ , which of the following statements must be true regarding the distances $AM$ and $AB$ ?

Question 5

The $x$ -intercept of the line given by the point-gradient equation $y - 3 = -2(x - 5)$ is

Question 6

A line $L$ is defined by the equation $2x - 5y + 10 = 0$ .

Find the gradient of any line perpendicular to $L$ .

Question 7

Point $P(2, -4)$ is rotated $90^\circ$ clockwise about the origin to produce point $P'$ . What is the gradient of the line segment connecting $P$ and $P'$ ?

Question 8

For the line $y = kx - 1$ to be parallel to $3x + y = 2$ , the value of $k$ is

Question 9

The gradient of a line that is perpendicular to the horizontal line $y = 10$ is ________.

Question 10

Which of the following is the equation of the line passing through the points $(5, -1)$ and $(5, 10)$ ?

Coordinate geometry basics Questionbank