Recordemos que, la pendiente(m) dos puntos A(x1,y1) y B(x2,y2) se define como:
[tex]\boxed{\boldsymbol{\mathsf{m = \dfrac{y_2-y_1}{x_2-x_1}}}}[/tex]
Del problema tenemos que:
[tex]\begin{array}{ccccccccccccccccccccccccccc}\star \:\:\mathsf{(\underbrace{1}_{\boldsymbol{\mathsf{x_1}}},\overbrace{0}^{\boldsymbol{\mathsf{y_1}}})} &&&&&&&&&& \star \:\: \mathsf{(\underbrace{0}_{\boldsymbol{\mathsf{x_2}}},\overbrace{-2}^{\boldsymbol{\mathsf{y_2}}})}\end{array}[/tex]
Entonces
[tex]\begin{array}{c}\mathsf{m=\dfrac{y_2-y_1}{x_2-x_1}}\\\\\\\mathsf{m=\dfrac{-2-(0)}{0-(1)}}\\\\\\\mathsf{m=\dfrac{-2}{-1}}\\\\\\\mathsf{\boxed{\boxed{\boldsymbol{\mathsf{m=2}}}}}\end{array}[/tex]
Rpta. La pendiente de la recta que pasa por los puntos (1,0) y (0,-2) es 2.
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