Question

Draw the graphs of the following equations on the same Cartesian plane and write the coordinates of the point of intersection of the graphs.a) x=y. b) x=2y c) x = -y​

Answer 1

Answer:

The Cartesian coordinate system is used to visualize points on a graph by showing the points’ distances from two axes.

LEARNING OBJECTIVES

Explain how to plot points in the Cartesian plane and what it means to do so

KEY TAKEAWAYS

Key Points

The Cartesian coordinate system is a 2-dimensional plane with a horizontal axis, known as the

x

-axis, and a vertical axis, known as the

y

-axis.

A Cartesian coordinate system specifies each point uniquely in a plane with a pair of numerical coordinates, each of which is the signed distance from the point to one of the two axes.

The numerical coordinates of a point are represented by an ordered pair

(

x

,

y

)

, where the

x

-coordinate is the point’s distance from the

y

-axis, and the

y

-coordinate is the distance from the

x

-axis.

The Cartesian coordinate system is broken into four quadrants, labeled I, II, III, and IV, starting from the upper right hand corner and moving counterclockwise

Step-by-step explanation:

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Answer 2

Answer:

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