Answer:
-2
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] = -2
[tex]y_{1}[/tex] = 7
[tex]x_{2}[/tex] = 3
[tex]y_{2}[/tex] = -3
Next, just plug these values into the slope formula from above.
[tex]\frac{7-(-3)}{-2-3}[/tex]
The numerator is 10 (the two negative signs become a positive) and the denominator is -5.
[tex]\frac{10}{-5}[/tex] can be simplified by dividing the numerator and denominator by -5 to give [tex]\frac{-2}{1}[/tex] or simply -2.
Therefore, the slope of the line is -2.
