Question

the three collinear points on line m are j, k, and w. point dropdown is not on line m. dropdown line(s) could be drawn through points p and x.

Explanation:

To solve this, we analyze the points and lines:

For "Point ____ is not on line \( m \)":

• Line \( m \) contains \( J \), \( K \), \( W \) (collinear).
• Points \( P \), \( X \), \( Y \): Check which is not on \( m \). From the diagram, \( Y \) lies on line \( n \) (vertical), not \( m \). So the point is \( Y \).

For "____ line(s) could be drawn through points \( P \) and \( X \)":

• By the postulate of a line through two points, exactly one line passes through any two distinct points. So the number of lines is \( 1 \) (or "one").

Final Answers:

• Point not on line \( m \): \( Y \)
• Lines through \( P \) and \( X \): \( 1 \) (or "one")

Answer:

To solve this, we analyze the points and lines:

For "Point ____ is not on line \( m \)":

• Line \( m \) contains \( J \), \( K \), \( W \) (collinear).
• Points \( P \), \( X \), \( Y \): Check which is not on \( m \). From the diagram, \( Y \) lies on line \( n \) (vertical), not \( m \). So the point is \( Y \).

For "____ line(s) could be drawn through points \( P \) and \( X \)":

• By the postulate of a line through two points, exactly one line passes through any two distinct points. So the number of lines is \( 1 \) (or "one").

Final Answers:

• Point not on line \( m \): \( Y \)
• Lines through \( P \) and \( X \): \( 1 \) (or "one")