Respuesta :

[tex]\boxed{\sf Slope=m=tan\Theta=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

Looking at options

#A

[tex]\\ \sf\longmapsto m=\dfrac{3}{-3}=-1[/tex]

  • Negative slope

#B

[tex]\\ \sf\longmapsto m=tan\Theta=tan0=0[/tex]

  • omitted

#C

  • Line parallel to y axis hence any points have same x co-ordinate for which the x_2-x_1=0

[tex]\\ \sf\longmapsto m=tan90=\infty[/tex]

  • omitted

#D

[tex]\\ \sf\longmapsto m=\dfrac{3}{3}=1[/tex]

  • Positive slope

Hence option D is correct

Answer:

• The first graph.

→ Consinder points (-2, 0) and (-3, -1) from the graph:

[tex]{ \tt{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1} } }} \\ \\ { \tt{slope = \frac{0 - ( - 1)}{ - 2 - ( - 3)} = \frac{1}{1} }} \\ \\ { \boxed{ \tt{slope = {}^{ + } 1}}}[/tex]

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