Based on the table of values below, find the slope between points where x = 3 and where x = 7.
| X | Y |
| 3 | 1 |
| 4 | 6 |
| 7 | 9 |
(i) -4
(ii) 1/4
(iii) 1
(iv) 2
Solution:
The slope of a line is nothing but the change in y coordinate with respect to the change in x coordinate of that line.
We have to find the slope of line joining points (3, 1) and (7, 9)
Let A (x₁, y₁) and Q (x₂, y₂) be the two given points.
The straight line AB is non-vertical, x2 ≠ x1.
The slope of the line joining two points is given by,
m = (y2 - y1)/ (x2 - x1)
= (9 - 1)/ (7 -3)
= 8/4 = 2
Therefore,
Option (iv) is the answer.
Based on the table of values below, find the slope between points where x = 3 and where x = 7.
| X | Y |
| 3 | 1 |
| 4 | 6 |
| 7 | 9 |
(i) -4
(ii) 1/4
(iii) 1
(iv) 2
Summary:
The slope, m, between points where x = 3 and x = 7 is 2.