Question

Directions: Determine the slope of the line that passes through the points.

1. (2,3), (4,5)
2. (1,6), (-4,-7)
3. (-6,1), (-2,1)
4. (-2,2), (-5,-2)
5. (4,-8), (-4,7)
6. (5,-3), (-1,2)
7. (-1,-3), (2,-3)
8. (-2,-5), (1,-3)
9. (2.2,3.1), (-2,5)
10. (2,3.2), (1.1,-5)
11. (-1,1.1), (-3,-2)
12. (1,-3), (4,-2)
13. (6,-3), (-2,5.2)
14. (5,-4), (-1,3)
15. (2.1,3.4), (4.1,-5)
16. (5,1), (3.2,-2)
17. (-2,-2), (0.3,2)
18. (-5,-1), (5.4,6)
19. (1,1), (7,8)
20. (4,3), (5,1)

Answer 1

The slope for a line passing through the points (1, 0.1) and (7, 26.8) is calculated using the slope formula, yielding a result of 4.45, which rounds to option b, 4.5.

Step-by-step explanation:

The slope of a line can be calculated using the points through which the line passes. The formula to find the slope (m) is m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of two distinct points on the line. In the example provided, to calculate the slope for a line passing through the points (1, 0.1) and (7, 26.8), we apply the formula:

• x1 = 1, y1 = 0.1
• x2 = 7, y2 = 26.8

Using the slope formula:

m = (26.8 - 0.1) / (7 - 1) = 26.7 / 6 = 4.45

This result indicates that the correct option would be b. 4.5, assuming the possible rounding to one decimal place.