Question

Line g has an undefined slope. If Line k contains the point (3, 8) and is parallel to Line g, what must be the x-coordinates of the other points that lie on the line?

A. 0
B. 3
C. 8
D. 11

Answer 1

Line k is parallel to the vertical Line g and must have the same x-coordinate for all points, which is 3. The correct answer is B. 3.

Step-by-step explanation:

• Since Line g has an undefined slope, it means that Line g is a vertical line. In a two-dimensional Cartesian coordinate system, a vertical line has the same x-coordinate for all points on the line.
• If Line k is parallel to Line g, it must also be vertical.
• The given point (3, 8) lies on Line k; therefore, the x-coordinate for all points on Line k must also be 3.
• The correct answer is B. 3, because all points on Line k will have the x-coordinate of 3 since Line k is parallel to the vertical line g.