Answer:
[tex]-\frac{1}{11}[/tex]
Step-by-step explanation:
The slope of a line when given two coordinates can be found using the formula [tex]\frac{y_{1} - y_{2}}{x_{1} - x_{2}}[/tex]
In this case, the first pair of coordinates are [tex]x_{1}[/tex] and [tex]y_{1}[/tex] and the second pair of coordinates are [tex]x_{2}[/tex] and [tex]y_{2}[/tex].
Therefore:
[tex]x_{1}[/tex] = 5
[tex]y_{1}[/tex] = 2
[tex]x_{2}[/tex] = -6
[tex]y_{2}[/tex] = 3
Next, just plug these values into the slope formula from above.
[tex]\frac{2-3}{5-(-6)}[/tex]
The numerator is -1 and the denominator is 11 (the two negative signs become a positive).
Therefore, the slope of the line is [tex]-\frac{1}{11}[/tex]
