The ordered pairs (-2 , 3) , (-5 , 3) represent points that lie on a horizontal line ⇒ answer A
Step-by-step explanation:
Let us explain some fact about the horizontal line
- The line is horizontal if the y-coordinates of all points lie on the line are equal
- The horizontal line is parallel to the x-axis ant its slope is 0
- The equation of the horizontal line that passes through point (a , b) is y = b, because the y-coordinates of all points on the line = b
To find the ordered pairs represent points that lie on a horizontal line, find the points with the same y-coordinates
Answer A:
∵ The ordered pairs are (-2 , 3) and (-5 , 3)
∴ x-coordinates are -2 and -5
∴ y-coordinates are 3 , 3
∵ The y-coordinates of the two ordered pairs are equal
∴ Points (-2 , 3) and (-5 , 3) lie on a horizontal line
Answer B
∵ The ordered pairs are (2 , 3) and (-2 , 4)
∴ x-coordinates are 2 and -2
∴ y-coordinates are 3 , 4
∵ The y-coordinates of the two ordered pairs are not equal
∴ Points (2 , 3) and (-2 , 4) not lie on a horizontal line
Answer C
∵ The ordered pairs are (-2 , 3) and (-2 , 4)
∴ x-coordinates are -2 and -2
∴ y-coordinates are 3 , 4
∵ The y-coordinates of the two ordered pairs are not equal
∴ Points (-2 , 3) and (-2 , 4) not lie on a horizontal line
Answer D
∵ The ordered pairs are (2 , -3) and (5 , 3)
∴ x-coordinates are 2 and 5
∴ y-coordinates are -3 , 3
∵ The y-coordinates of the two ordered pairs are not equal
∴ Points (2 , -3) and (5 , 3) not lie on a horizontal line
The ordered pairs (-2 , 3) , (-5 , 3) represent points that lie on a horizontal line
Learn more:
You can learn more about the equation of a line in brainly.com/question/11229113
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