Question

Sam was finding the midpoint between points (17, -2) and (4, 10). In which step did Sam make an error, or was there no error?

a) Step 1
b) Step 2
c) Step 3
d) No error

Answer 1

To find the slope for a line passing through the points (1, 0.1) and (7, 26.8), calculate the differences in the y-coordinates (26.7) and the x-coordinates (6), and then divide the former by the latter to get a slope of approximately 4.45, which rounds to 4.5.

Step-by-step explanation:

The slope of a line passing through two points can be found with the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. For the points given, Point 1: (1, 0.1) and Point 2: (7, 26.8), we can calculate the slope as follows:

1. Subtract the y-coordinates of the points: 26.8 - 0.1 = 26.7
2. Subtract the x-coordinates of the points: 7 - 1 = 6
3. Divide the difference in y-coordinates by the difference in x-coordinates: 26.7 / 6 = 4.45

Therefore, the slope for the line passing through the two points is approximately 4.45, which can be rounded to 4.5 as per the answer choices given.