# What is the slope of the line passing through the following points: # (11.40,3.42); (1.16,4.09)#?

See the entire solution process below:

Substituting the values from the points in the problem gives:

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To find the slope of the line passing through the given points ( (11.40, 3.42) ) and ( (1.16, 4.09) ), we use the formula for slope, which is ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ), where ( (x_1, y_1) ) and ( (x_2, y_2) ) are the coordinates of the two points.

Substituting the given coordinates into the formula, we get:

( m = \frac{{4.09 - 3.42}}{{1.16 - 11.40}} )

Simplify to find the slope.

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