6th Grade Math Flashcards: Graph Points In Four Quadrants

What this deck covers

This deck focuses on Graph Points In Four Quadrants, giving you a quick way to review the definitions, rules, and examples that matter most for 6th Grade Math.

How to use these flashcards

Work through these flashcards in short sessions. Try to answer each prompt before flipping the card, then revisit any cards you miss until the explanation feels automatic.

Flashcard 1: What is the distance between $(-3,4)$ and $(6,4)$?

Answer: $9$. Same $y$-coordinate means horizontal distance: $|6-(-3)|=|9|=9$.

Flashcard 2: State the distance formula for points with the same $y$-coordinate: $(x_1, y)$ and $(x_2, y)$.

Answer: $|x_2 - x_1|$. For horizontal alignment, distance is the absolute difference of $x$-values.

Flashcard 3: Which quadrant contains points with $x<0$ and $y<0$?

Answer: Quadrant III. Both coordinates are negative in the lower-left region.

Flashcard 4: State the distance formula for points with the same $x$-coordinate: $(x, y_1)$ and $(x, y_2)$.

Answer: $|y_2 - y_1|$. For vertical alignment, distance is the absolute difference of $y$-values.

Flashcard 5: Which quadrant contains points where $x < 0$ and $y > 0$?

Answer: Quadrant $II$. Negative $x$ and positive $y$ defines the upper-left quadrant.

Flashcard 6: Which quadrant contains points where $x<0$ and $y>0$?

Answer: Quadrant $II$. Negative x (left) and positive y (up) defines Quadrant II.

Flashcard 7: What is the distance between $(7, 3)$ and $(-1, 3)$?

Answer: $8$. Same $y$-coordinate: $|-1 - 7| = |-8| = 8$.

Flashcard 8: What ordered pair names the point with $x=-3$ and $y=5$?

Answer: $(-3,5)$. The ordered pair format is $(x,y)$ with $x$ first, then $y$.

Flashcard 9: What do the coordinates $(x,y)$ represent on the coordinate plane?

Answer: $x$ is horizontal, $y$ is vertical. The first coordinate measures left/right, the second measures up/down.

Flashcard 10: Which axis is the $y$-axis: horizontal or vertical?

Answer: Vertical. The $y$-axis runs up-down on the plane.

Flashcard 11: What is the ordered pair for a point that is $4$ units left and $5$ units down from the origin?

Answer: $(-4, -5)$. Left means negative $x$, down means negative $y$.

Flashcard 12: Which coordinate is the $x$-coordinate in an ordered pair $(x, y)$: first or second?

Answer: First coordinate. In $(x, y)$, $x$ comes first, then $y$.

Flashcard 13: Identify the quadrant (or axis) for the point $(2, -7)$.

Answer: Quadrant $IV$. Positive $x$ and negative $y$ places it in the lower-right.

Flashcard 14: Which quadrant contains points with $x>0$ and $y<0$?

Answer: Quadrant IV. Positive $x$ and negative $y$ place points in the lower-right region.

Flashcard 15: Identify the correct expression for the distance between $(4, -1)$ and $(4, 6)$.

Answer: $|6-(-1)|$. Vertical points: use absolute value of y-coordinates.

Flashcard 16: What is the distance between $(-5, -2)$ and $(3, -2)$?

Answer: $8$. Same y-coordinate: distance = $|3-(-5)| = 8$.

Flashcard 17: What is the distance between $(2, 1)$ and $(2, 7)$?

Answer: $6$. Same x-coordinate: distance = $|7-1| = 6$.

Flashcard 18: What is the $y$-axis: the set of points where $x = 0$ or where $y = 0$?

Answer: Points where $x = 0$. The vertical axis contains all points with zero $x$-value.

Flashcard 19: Which quadrant contains points where $x>0$ and $y<0$?

Answer: Quadrant $IV$. Positive x (right) and negative y (down) defines Quadrant IV.

Flashcard 20: What are the coordinates of a point $3$ units right and $2$ units up from the origin?

Answer: $(3, 2)$. Move right along x-axis and up along y-axis from origin.

Flashcard 21: Which quadrant contains points where $x > 0$ and $y < 0$?

Answer: Quadrant $IV$. Positive $x$ and negative $y$ defines the lower-right quadrant.

Flashcard 22: Identify the quadrant of the point $(6,-1)$.

Answer: Quadrant IV. Positive $x$ and negative $y$ place the point in the lower-right quadrant.

Flashcard 23: Find the distance between $(-8,3)$ and $(-2,3)$.

Answer: $6$. Same $y$-coordinate: $|-2-(-8)|=|6|=6$.

Flashcard 24: What is the distance between $(-3, 6)$ and $(5, 6)$?

Answer: $8$. Same $y$-coordinate: $|5 - (-3)| = |8| = 8$.

Flashcard 25: Identify the quadrant of the point $(-4,2)$.

Answer: Quadrant II. Negative $x$ and positive $y$ place the point in the upper-left quadrant.

Flashcard 26: What is the ordered pair for a point that is $3$ units right and $2$ units up from the origin?

Answer: $(3, 2)$. Right means positive $x$, up means positive $y$.

Flashcard 27: What is the distance between $(0, -4)$ and $(0, 9)$?

Answer: $13$. Same x-coordinate: distance = $|9-(-4)| = 13$.

Flashcard 28: What is the distance between $(-2, -1)$ and $(-2, -9)$?

Answer: $8$. Same $x$-coordinate: $|-9 - (-1)| = |-8| = 8$.

Flashcard 29: What is the $x$-axis: the set of points where $y = 0$ or where $x = 0$?

Answer: Points where $y = 0$. The horizontal axis contains all points with zero $y$-value.

Flashcard 30: What is the quadrant of the point $(4, -3)$?

Answer: Quadrant $IV$. Quadrant IV has positive x and negative y values.

Flashcard 31: Which quadrant contains points with $x>0$ and $y>0$?

Answer: Quadrant I. Both coordinates are positive in the upper-right region.

Flashcard 32: Which quadrant contains points with $x<0$ and $y>0$?

Answer: Quadrant II. Negative $x$ and positive $y$ place points in the upper-left region.

Flashcard 33: What is the value of the absolute value expression $|-12|$?

Answer: $12$. Absolute value makes negative numbers positive.

Flashcard 34: Identify the location for the point $(7, 0)$: $x$-axis, $y$-axis, or a quadrant.

Answer: $x$-axis. When $y = 0$, the point lies on the horizontal axis.

Flashcard 35: Identify the axis a point lies on when its $x$-coordinate is $0$.

Answer: The $y$-axis. Points with x = 0 lie on the vertical axis.

Flashcard 36: State the distance formula for points with the same $x$-coordinate: $(a,y_1)$ and $(a,y_2)$.

Answer: Distance $=|y_2-y_1|$. For vertical alignment, find the absolute difference of $y$-values.

Flashcard 37: What are the coordinates of a point $4$ units left and $5$ units down from the origin?

Answer: $(-4, -5)$. Negative coordinates mean left (x) and down (y) from origin.

Flashcard 38: State the distance formula for points with the same $y$-coordinate: $(x_1,b)$ and $(x_2,b)$.

Answer: Distance $=|x_2-x_1|$. For horizontal alignment, find the absolute difference of $x$-values.

Flashcard 39: Identify the axis a point lies on when its $y$-coordinate is $0$.

Answer: The $x$-axis. Points with y = 0 lie on the horizontal axis.

Flashcard 40: Identify the quadrant (or axis) for the point $(-3, -4)$.

Answer: Quadrant $III$. Both coordinates negative places it in the lower-left.

Flashcard 41: Identify the quadrant (or axis) for the point $(5, 9)$.

Answer: Quadrant $I$. Both coordinates positive places it in the upper-right.

Flashcard 42: What is the distance between $(2,-1)$ and $(2,5)$?

Answer: $6$. Same $x$-coordinate means vertical distance: $|5-(-1)|=|6|=6$.

Flashcard 43: What is the distance between $(9, -3)$ and $(9, -10)$?

Answer: $7$. Same x-coordinate: distance = $|-3-(-10)| = 7$.

Flashcard 44: What is the absolute value of $-9$, and what does it represent on a number line?

Answer: $9$; distance from $0$. Absolute value removes the negative sign, measuring distance from zero.

Flashcard 45: What is the quadrant of the point $(-6, 2)$?

Answer: Quadrant $II$. Quadrant II has negative x and positive y values.

Flashcard 46: What is the distance between $(4, -2)$ and $(4, 5)$?

Answer: $7$. Same $x$-coordinate: $|5 - (-2)| = |7| = 7$.

Flashcard 47: Identify the location for the point $(0, -8)$: $x$-axis, $y$-axis, or a quadrant.

Answer: $y$-axis. When $x = 0$, the point lies on the vertical axis.

Flashcard 48: Identify the quadrant of the point $(-2,-7)$.

Answer: Quadrant III. Both coordinates are negative, placing the point in the lower-left quadrant.

Flashcard 49: Find the distance between $(0,-6)$ and $(0,1)$.

Answer: $7$. Same $x$-coordinate: $|1-(-6)|=|7|=7$.

Flashcard 50: Identify the quadrant (or axis) for the point $(-6, 1)$.

Answer: Quadrant $II$. Negative $x$ and positive $y$ places it in the upper-left.

Flashcard 51: What is the name of the point where the axes intersect?

Answer: The origin, $(0,0)$. Both coordinates equal zero at the axes' intersection.

Flashcard 52: Which axis is the $x$-axis: horizontal or vertical?

Answer: Horizontal. The $x$-axis runs left-right across the plane.

Flashcard 53: Identify the correct expression for the distance between $(-3, 2)$ and $(5, 2)$.

Answer: $|5-(-3)|$. Horizontal points: use absolute value of x-coordinates.

Flashcard 54: What is the distance between $(-7, 5)$ and $(1, 5)$?

Answer: $8$. Same y-coordinate: distance = $|1-(-7)| = 8$.

Flashcard 55: Identify the quadrant of the point $(3,9)$.

Answer: Quadrant I. Both coordinates are positive, placing the point in the upper-right quadrant.

Flashcard 56: What is the quadrant of the point $(-1, -8)$?

Answer: Quadrant $III$. Quadrant III has both negative x and y values.