Question

in which quadrant does point m lie? coordinate plane graph with point m, then options: quadrant i, quadrant iii, quadrant ii, quadrant iv

Explanation:

To determine the quadrant of a point \((x,y)\):

• Quadrant I: \(x>0, y>0\)
• Quadrant II: \(x<0, y>0\)
• Quadrant III: \(x<0, y<0\)
• Quadrant IV: \(x>0, y<0\)

For Point \(M\), observe the graph:

• The \(x\)-coordinate is negative (left of the \(y\)-axis).
• The \(y\)-coordinate is negative (below the \(x\)-axis).

Since \(x<0\) and \(y<0\), Point \(M\) lies in Quadrant III.

Answer:

B. Quadrant III