Question

what is the name of the highlighted quadrant?

quadrant i
quadrant ii
quadrant iii
quadrant iv

Explanation:

Identify the coordinate plane structure

Using the Linear Graphs knowledge point, we observe that the coordinate plane is divided into four regions called quadrants by the horizontal \(x\)-axis and the vertical \(y\)-axis.

Locate the highlighted region

The highlighted yellow region is in the upper-left section of the coordinate plane, where \(x\)-coordinates are negative (\(x < 0\)) and \(y\)-coordinates are positive (\(y > 0\)).

Determine the quadrant name

Quadrants are numbered counterclockwise starting from the upper-right:

• Quadrant I: Upper-right (\(x > 0, y > 0\))
• Quadrant II: Upper-left (\(x < 0, y > 0\))
• Quadrant III: Lower-left (\(x < 0, y < 0\))
• Quadrant IV: Lower-right (\(x > 0, y < 0\))

Therefore, the highlighted region is Quadrant II.

Answer:

• Quadrant I
• Quadrant II (Correct answer)
• Quadrant III
• Quadrant IV