If two people graph the same line using different sets of three points, how can they confirm they drew the same line?

1. Two different sets of three valid points can produce graphs that look different at first glance, since the labeled points differ. 2. But if both lines are graphed correctly, the points where each crosses the x-axis and y-axis, the intercepts, will match exactly. 3. Using different points is expected and does not indicate an error, so it is the intercepts, not the specific points chosen or the color of the ink, that confirm the lines match. _Source: OpenStax Elementary Algebra (CC BY 4.0), Ch 4 "Graphs", section 4.3 Graph with Intercepts_