# What is the slope of the line passing through #(-7,0); (-2,-6)#?

See a solution process below:

The formula for find the slope of a line is:

Substituting the values from the points in the problem gives:

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To find the slope of a line passing through two points, you can use the formula: ( m = \frac{{y_2 - y_1}}{{x_2 - x_1}} ). Substituting the given coordinates, ( (-7,0) ) and ( (-2,-6) ), into the formula gives: ( m = \frac{{-6 - 0}}{{-2 - (-7)}} ). Simplifying gives: ( m = \frac{{-6}}{{5}} = -\frac{{6}}{{5}} ). Therefore, the slope of the line passing through these two points is ( -\frac{{6}}{{5}} ).

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