Question

On a coordinate plane, points (1, 3), (5, 9), and (7, 12) are plotted.
Which of the following statements are true about this graph? Check all that apply.
The three points do not form a straight line.
The three points form a straight line.
The graph passes through the origin.
The graph does not pass through the origin.
The graph shows a proportional relationship.
The graph does not a show a proportional relationship.

Answer 1

True:
- The three points form a straight line. (Slope between (1,3) & (5,9) = 6/4 = 3/2; slope between (5,9) & (7,12) = 3/2.)
- The graph does not pass through the origin. (Line through the points: y = (3/2)x + 3/2, y-intercept 3/2 ≠ 0.)
- The graph does not show a proportional relationship. (A proportional relationship is a line through the origin; this one is not.)

False:
- The three points do not form a straight line.
- The graph passes through the origin.