Question

SOMEBODY PLS HELP ME <3

Answer 1

• The first graph.

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

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

Answer 2

`\boxed{\sf Slope=m=tan\Theta=(y_2-y_1)/(x_2-x_1)}`

Looking at options

#A

`\\ \sf\longmapsto m=(3)/(-3)=-1`

• Negative slope

#B

`\\ \sf\longmapsto m=tan\Theta=tan0=0`

• omitted

#C

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

`\\ \sf\longmapsto m=tan90=\infty`

• omitted

#D

`\\ \sf\longmapsto m=(3)/(3)=1`

• Positive slope

Hence option D is correct