The missing value so that the line passing through the points has the given slope is of:
r = 9.
How to obtain the slope of a linear function?
Given two points that are on the graph of the linear function, the slope of the linear function is obtained by the division of the change in y of the two points by the change in x of the two points.
In this problem, the points are given as follows:
(6, r) and (3,3).
Hence the changes are given as follows:
Then the equation that gives the slope is of:
m = (r - 3)/3.
The slope has a numeric value of 2, hence the missing value r is obtained as follows:
2 = (r - 3)/3.
r - 3 = 6
r = 9.
Missing Information
The points are given as follows:
(6, r) and (3,3).
The slope is of:
m = 2.