Final answer:
To calculate the slope, select two points and use the formula (Y₂ - Y₁) / (X₂ - X₁), ensuring that the points are as far apart as possible for accuracy.
Step-by-step explanation:
To calculate the slope of a line using two points, first identify one point as the "starting point" and the other as the "ending point." Then, compute the change in y-values (rise) and change in x-values (run) between the two points. The slope is calculated using the formula (Y₂ - Y₁) / (X₂ - X₁), where Y₂ and Y₁ are the y-coordinates and X₂ and X₁ are the x-coordinates of the two points, respectively.
For example, if you choose the points (6.4 s, 2000 m) and (0.50 s, 525 m) from a graph, you can substitute these into the slope formula to find the slope of the line. Picking points that are further apart on the line can minimize errors and provide a more accurate representation of the line's slope.