To find the solution to the system of equations ( y = 7x + 2 ) and ( y = 9x - 14 ), set the equations equal to each other: ( 7x + 2 = 9x - 14 ). Solving for ( x ), we get ( 16 = 2x ) or ( x = 8 ). Substituting ( x = 8 ) into either equation gives ( y = 58 ). Thus, the solution is the ordered pair ( (8, 58) ).
When an ordered pair is reflected over the x-axis, the x-value remains unchanged. Only the y-value is altered; it becomes its opposite. For example, if the original ordered pair is (a, b), after reflection, it becomes (a, -b).
Assume we want to find the ordered pair after 90° counterclockwise rotation. From (x,y), we have (-y,x). If we want to find the ordered pair after 90° clockwise rotation, then from (x,y) we have (y, -x)
If the reflection is over the x value, the x-value does not change.
The x coordinate.
The symbol for an ordered pair is (x,y).
10
(1,2)
When an ordered pair is reflected over the x-axis, the x-value remains unchanged. Only the y-value is altered; it becomes its opposite. For example, if the original ordered pair is (a, b), after reflection, it becomes (a, -b).
Assume we want to find the ordered pair after 90° counterclockwise rotation. From (x,y), we have (-y,x). If we want to find the ordered pair after 90° clockwise rotation, then from (x,y) we have (y, -x)
If the reflection is over the x value, the x-value does not change.
The inverse of an ordered pair (a,b) is the pair (b,a). So you simply switch the order.
The x coordinate.
The second number in an ordered pair (x,y) is the y-coordinate for that point.
A "Cartesian Ordered Pair," more commonly known as simply an "Ordered Pair."
ordered pair
x-axis