What is the slope of the line passing through the points (−2, −8) and (−3, −9) ?
a. -1
b. -5/7
c. 1
d. -7/5

Respuesta :

[tex]\bf \begin{array}{lllll} &x_1&y_1&x_2&y_2\\ % (a,b) &({{ -2}}\quad ,&{{ -8}})\quad % (c,d) &({{ -3}}\quad ,&{{ -9}}) \end{array} \\\\\\ % slope = m slope = {{ m}}= \cfrac{rise}{run} \implies \cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-9-(-8)}{-3-(-2)}\implies \cfrac{-9+8}{-3+2}[/tex]
The answer is C, 1. 

   y₂ - y₁       -9 + 8        -1
  ---------- = ----------- = ------ = 1
   x₂ - x₁       -3 + 2        -1 
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