Hi there & welcome to brainly !
Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ \frac{3}{2}}}}} [/tex]
Step-by-step explanation:
A ( 1 , 7 ) , B ( - 1 , 4 )
Slope = ?
Let A ( 1 , 7 ) ↦ ( x₁ , y₁ )
Let B ( - 1 , 4 ) ↦ ( x₂ , y₂ )
Finding the slope :
[tex] \boxed{ \tt{slope \: ( \: m)= \frac{y2 - y1}{x2 - x1} }}[/tex]
[tex] \sf{↦ \: slope = \frac{4 - 7}{ - 1 - 1}} [/tex]
[tex] \sf{↦ \: slope = \frac{ - 3}{ - 2}} [/tex]
[tex] \sf{↦ \: slope = \boxed{ \sf{ \frac{3}{2} }}}[/tex]
And we're done !
Hope I helped!
Best regards! :D
~TheAnimeGirl