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Find the missing value so that the line passing through the points has the given slope

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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:

  • Change in y: r - 3.
  • Change in x: 6 - 3 = 3.

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.

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