The slope of a line passing through the points (5,2) and (7,8) is calculated as 3, therefore the correct option is b.
The slope of a line passing through two points can be calculated using the formula (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points. For the points given in the question, which are (5,2) and (7,8), we can calculate the slope as follows:
First, identify the coordinates as (x1, y1) = (5, 2) and (x2, y2) = (7, 8).
Next, subtract the y-coordinates (y2 - y1) to find the rise, which is 8 - 2 = 6.
Then, subtract the x-coordinates (x2 - x1) to find the run, which is 7 - 5 = 2.
Finally, divide the rise by the run to get the slope: 6 / 2 = 3.
Therefore, the slope of the line that passes through the points (5,2) and (7,8) is 3.
Complete Question:
what is the slope of a line that passes through the pair of points? (5,2) and (7,8).
the options are:
a. -3
b. 3
c. -1
d. 1