WebAn ordered pair, (x, y), is a set of numbers that tells us the coordinates of a point in the coordinate plane. The first number, called the x-coordinate, corresponds to a position on … WebIt is also common to define an ordered pair as ( x, y) := { x, { x, y } }. One can prove that { x 1, { x 1, y 1 } } = { x 2, { x 2, y 2 } } x 1 = x 2 and y 1 = y 2. The most important point is that it is …

6.8: Graphing Systems of Linear Inequalities

WebThe ordered pair ( x + 4, y + 6) was used to translate an object. To find the pre-image of the object, you would need to move _____. four units left and six units down A point on a pre-image is G (5, -2). If its image has coordinates G' (2, 1), what was the translation? ( x - 3, y + 3) An object is translated by ( x - 2, y - 6). WebThe definition of the ordered pair states that (x, y) is an object with x as its first and y as its second component. Two ordered pairs are considered equal if the following holds: (x, y) = (x ′, y ′) ↔ (x = x ′ ∧ y = y ′). birthplace pablo picasso

Why is an ordered pair (x, y) written as { {x}, {x, y}}?

WebA point in a coordinate plane is named by its ordered pair (x, y), written in parentheses, corresponding to the X-coordinate and the Y-coordinate. These coordinates can be positive, zero, or negative, depending on the location of the point in the respective quadrants. ... Step 1: Find the quadrant in which the given point is located by looking ... WebAnytime you are asked to determine if a point (an ordered pair of (x,y)) is a solution, we use substitution. We use the x-value for "x" in the equation and the y-value for "y" in the equation. Example: Is (2, 3) a solution to your equation: y = -2x - 5? Substitute: 3 = -2 (2) - 5 Simplify the right side: 3 = -4 - 5 3 = -9 WebThe x-coordinate is [latex]−4[/latex] because it comes first in the ordered pair.Start at the origin and move 4 units in a negative direction (left) along the x-axis.. The y-coordinate is [latex]−2[/latex] because it comes second in the ordered pair.Now move 2 units in a negative direction (down). If you look over to the y-axis, you should be lined up with [latex]−2[/latex] … birthplace pi