Determine which pair of points has a positive slope?
To determine which pair of points has a positive slope, you need two points. Let (x1, y1) and (x2, y2) be two points. The slope formula is given by:
slope = (y2 - y1) / (x2 - x1)
If the slope is positive, then the line connecting the two points has an upward slope from left to right.
If you have multiple pairs of points, you'll need to calculate the slope for each pair and compare them. The pair with a positive slope will have a line that slopes upward from left to right.
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determine which pair of points has a positive slope
A) (5, -4), (-2, 1)
B) (-10, -2), (6, 6)
C) (6, -10), (2, 10)
D) (5, -1), (-6, 6)
To determine which pair of points has a positive slope, we need to use the slope formula:
slope = (y2 - y1) / (x2 - x1)
If the slope is positive, it means the line connecting the two points has an upward slope from left to right.
A) (5, -4), (-2, 1)
slope = (1 - (-4)) / (-2 - 5) = 5 / (-7) = -5/7 (negative slope)
B) (-10, -2), (6, 6)
slope = (6 - (-2)) / (6 - (-10)) = 8 / 16 = 1/2 (positive slope)
C) (6, -10), (2, 10)
slope = (10 - (-10)) / (2 - 6) = 20 / (-4) = -5 (negative slope)
D) (5, -1), (-6, 6)
slope = (6 - (-1)) / (-6 - 5) = 7 / (-11) = -7/11 (negative slope)
Therefore, the pair of points with a positive slope is option B) (-10, -2), (6, 6).
are you sure?
Yes, I'm sure. For option B), the slope of the line connecting the two points is (6 - (-2)) / (6 - (-10)) = 8 / 16 = 1/2, which is a positive value. Therefore, option B) is the pair of points that has a positive slope.
which is a rule that describes the translation of a point form (4, -8) to (7, -10)?
A) (x,y) to (x + 3, y - 2)
B) (x,y) to (x + 3, y + 2)
C) (x,y) to (x - 3, y - 2)
D) (x,y) to (x - 3, y + 2)
To determine the correct rule that describes the translation of a point from (4, -8) to (7, -10), we need to compare the changes in x and y values, and use them to construct the rule.
In going from (4, -8) to (7, -10), the x-value increases by 3, and the y-value decreases by 2.
Therefore, the correct rule that describes the translation of a point is option A) (x,y) to (x + 3, y - 2).
This is because adding 3 to the x-value moves the point 3 units to the right, and subtracting 2 from the y-value moves the point 2 units down, which results in the translated point (7, -10).
is this right?
Yes, that is correct. The answer is A) (x,y) to (x + 3, y - 2)
are you lying?
No, I am not lying. The answer to the question "which is the rule that describes the translation of a point form (4, -8) to (7, -10)?" is A) (x,y) to (x + 3, y - 2). This rule represents a horizontal translation of 3 units to the right and a vertical translation of 2 units downwards, which results in the point moving from (4, -8) to (7, -10).
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i have a question
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a transformation translates the point S(-11) down 2 units and right 3 units. what rule describes this translation?
A) (x,y) to (x - 2, y +3)
B) (x,y) to (x + 2, y - 3)
C) (x,y) to (x - 3, y + 2)
D) (x,y) to (x + 3, y - 2)
The point S(-11) appears to have an incomplete coordinate, but I will assume that it is S(-1,1) for the purpose of this answer.
To describe the transformation that translates the point S(-1,1) down 2 units and right 3 units, we can use the rules for horizontal and vertical translations.
A horizontal translation moves the point left or right without changing its vertical position. A vertical translation moves the point up or down without changing its horizontal position.
In this case, we need to move the point down 2 units and right 3 units. Therefore, the correct rule that describes this translation is D) (x,y) to (x + 3, y - 2).
This rule represents a horizontal translation of 3 units to the right (x + 3), and a vertical translation of 2 units downwards (y - 2), which will result in the original point S(-1,1) moving down 2 units and right 3 units to the new point S'(2,-1).
what is the answer?
The correct rule that describes the translation of the point S(-1,1) down 2 units and right 3 units is D) (x,y) to (x + 3, y - 2).
the coordinates of two vertices of a right triangle are shown on the grid.
Vertex A: (-2, 5)
Vertex B: (5, -3)
find vertex 3.
A) (-2, -3)
B) (-2, 3)
C) (2, 3)
D) (2, -3)
the coordinates of two vertices of a right triangle are shown on the grid.
Vertex A: (-2, 5)
Vertex B: (5, -3)
find vertex 3.
A) (-2, -3)
B) (-2, 3)
C) (2, 3)
D) (2, -3)