Graph Points in Four Quadrants - 6th Grade Math
Card 1 of 25
State the distance formula for points with the same $x$-coordinate: $(x, y_1)$ and $(x, y_2)$.
State the distance formula for points with the same $x$-coordinate: $(x, y_1)$ and $(x, y_2)$.
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$|y_2 - y_1|$. For vertical alignment, distance is the absolute difference of $y$-values.
$|y_2 - y_1|$. For vertical alignment, distance is the absolute difference of $y$-values.
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What is the ordered pair for a point that is $4$ units left and $5$ units down from the origin?
What is the ordered pair for a point that is $4$ units left and $5$ units down from the origin?
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$(-4, -5)$. Left means negative $x$, down means negative $y$.
$(-4, -5)$. Left means negative $x$, down means negative $y$.
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What is the ordered pair for a point that is $3$ units right and $2$ units up from the origin?
What is the ordered pair for a point that is $3$ units right and $2$ units up from the origin?
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$(3, 2)$. Right means positive $x$, up means positive $y$.
$(3, 2)$. Right means positive $x$, up means positive $y$.
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Which quadrant contains points where $x < 0$ and $y > 0$?
Which quadrant contains points where $x < 0$ and $y > 0$?
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Quadrant $II$. Negative $x$ and positive $y$ defines the upper-left quadrant.
Quadrant $II$. Negative $x$ and positive $y$ defines the upper-left quadrant.
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Which quadrant contains points where $x > 0$ and $y < 0$?
Which quadrant contains points where $x > 0$ and $y < 0$?
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Quadrant $IV$. Positive $x$ and negative $y$ defines the lower-right quadrant.
Quadrant $IV$. Positive $x$ and negative $y$ defines the lower-right quadrant.
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Identify the quadrant (or axis) for the point $(2, -7)$.
Identify the quadrant (or axis) for the point $(2, -7)$.
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Quadrant $IV$. Positive $x$ and negative $y$ places it in the lower-right.
Quadrant $IV$. Positive $x$ and negative $y$ places it in the lower-right.
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Identify the quadrant (or axis) for the point $(-6, 1)$.
Identify the quadrant (or axis) for the point $(-6, 1)$.
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Quadrant $II$. Negative $x$ and positive $y$ places it in the upper-left.
Quadrant $II$. Negative $x$ and positive $y$ places it in the upper-left.
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Identify the quadrant (or axis) for the point $(-3, -4)$.
Identify the quadrant (or axis) for the point $(-3, -4)$.
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Quadrant $III$. Both coordinates negative places it in the lower-left.
Quadrant $III$. Both coordinates negative places it in the lower-left.
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Identify the quadrant (or axis) for the point $(5, 9)$.
Identify the quadrant (or axis) for the point $(5, 9)$.
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Quadrant $I$. Both coordinates positive places it in the upper-right.
Quadrant $I$. Both coordinates positive places it in the upper-right.
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What is the $x$-axis: the set of points where $y = 0$ or where $x = 0$?
What is the $x$-axis: the set of points where $y = 0$ or where $x = 0$?
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Points where $y = 0$. The horizontal axis contains all points with zero $y$-value.
Points where $y = 0$. The horizontal axis contains all points with zero $y$-value.
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What is the $y$-axis: the set of points where $x = 0$ or where $y = 0$?
What is the $y$-axis: the set of points where $x = 0$ or where $y = 0$?
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Points where $x = 0$. The vertical axis contains all points with zero $x$-value.
Points where $x = 0$. The vertical axis contains all points with zero $x$-value.
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Identify the location for the point $(0, -8)$: $x$-axis, $y$-axis, or a quadrant.
Identify the location for the point $(0, -8)$: $x$-axis, $y$-axis, or a quadrant.
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$y$-axis. When $x = 0$, the point lies on the vertical axis.
$y$-axis. When $x = 0$, the point lies on the vertical axis.
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What is the distance between $(4, -2)$ and $(4, 5)$?
What is the distance between $(4, -2)$ and $(4, 5)$?
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$7$. Same $x$-coordinate: $|5 - (-2)| = |7| = 7$.
$7$. Same $x$-coordinate: $|5 - (-2)| = |7| = 7$.
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State the distance formula for points with the same $y$-coordinate: $(x_1, y)$ and $(x_2, y)$.
State the distance formula for points with the same $y$-coordinate: $(x_1, y)$ and $(x_2, y)$.
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$|x_2 - x_1|$. For horizontal alignment, distance is the absolute difference of $x$-values.
$|x_2 - x_1|$. For horizontal alignment, distance is the absolute difference of $x$-values.
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What is the distance between $(-3, 6)$ and $(5, 6)$?
What is the distance between $(-3, 6)$ and $(5, 6)$?
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$8$. Same $y$-coordinate: $|5 - (-3)| = |8| = 8$.
$8$. Same $y$-coordinate: $|5 - (-3)| = |8| = 8$.
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Identify the location for the point $(7, 0)$: $x$-axis, $y$-axis, or a quadrant.
Identify the location for the point $(7, 0)$: $x$-axis, $y$-axis, or a quadrant.
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$x$-axis. When $y = 0$, the point lies on the horizontal axis.
$x$-axis. When $y = 0$, the point lies on the horizontal axis.
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What is the distance between $(7, 3)$ and $(-1, 3)$?
What is the distance between $(7, 3)$ and $(-1, 3)$?
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$8$. Same $y$-coordinate: $|-1 - 7| = |-8| = 8$.
$8$. Same $y$-coordinate: $|-1 - 7| = |-8| = 8$.
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What is the distance between $(-2, -1)$ and $(-2, -9)$?
What is the distance between $(-2, -1)$ and $(-2, -9)$?
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$8$. Same $x$-coordinate: $|-9 - (-1)| = |-8| = 8$.
$8$. Same $x$-coordinate: $|-9 - (-1)| = |-8| = 8$.
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Which coordinate is the $x$-coordinate in an ordered pair $(x, y)$: first or second?
Which coordinate is the $x$-coordinate in an ordered pair $(x, y)$: first or second?
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First coordinate. In $(x, y)$, $x$ comes first, then $y$.
First coordinate. In $(x, y)$, $x$ comes first, then $y$.
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Identify the correct expression for the distance between $(4, -1)$ and $(4, 6)$.
Identify the correct expression for the distance between $(4, -1)$ and $(4, 6)$.
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$|6-(-1)|$. Vertical points: use absolute value of y-coordinates.
$|6-(-1)|$. Vertical points: use absolute value of y-coordinates.
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What is the distance between $(-7, 5)$ and $(1, 5)$?
What is the distance between $(-7, 5)$ and $(1, 5)$?
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$8$. Same y-coordinate: distance = $|1-(-7)| = 8$.
$8$. Same y-coordinate: distance = $|1-(-7)| = 8$.
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What is the distance between $(0, -4)$ and $(0, 9)$?
What is the distance between $(0, -4)$ and $(0, 9)$?
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$13$. Same x-coordinate: distance = $|9-(-4)| = 13$.
$13$. Same x-coordinate: distance = $|9-(-4)| = 13$.
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What is the distance between $(-5, -2)$ and $(3, -2)$?
What is the distance between $(-5, -2)$ and $(3, -2)$?
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$8$. Same y-coordinate: distance = $|3-(-5)| = 8$.
$8$. Same y-coordinate: distance = $|3-(-5)| = 8$.
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What is the distance between $(2, 1)$ and $(2, 7)$?
What is the distance between $(2, 1)$ and $(2, 7)$?
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$6$. Same x-coordinate: distance = $|7-1| = 6$.
$6$. Same x-coordinate: distance = $|7-1| = 6$.
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Identify the axis a point lies on when its $x$-coordinate is $0$.
Identify the axis a point lies on when its $x$-coordinate is $0$.
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The $y$-axis. Points with x = 0 lie on the vertical axis.
The $y$-axis. Points with x = 0 lie on the vertical axis.
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