Answer:
[tex] \huge{ \boxed{ \bold{ \tt{ - 5}}}}[/tex]
☪[tex] \tt{Question} : [/tex]
- Find the gradient / slope of the line segment between the points points ( 0 , - 3 ) and ( 1 , -8 ).
☥ [tex] \tt{Step - by - step \: explanation : }[/tex]
☄[tex] \tt{Solution : }[/tex]
[tex] \sf{Step \: 1} : [/tex] Assign one of the ordered pairs to be ( x₁ , y₁ ) and another to be ( x₂ , y₂ )
- [tex] \sf{(0 \: - 3) \longrightarrow}[/tex] ( x₁ , y₁ )
- [tex] \sf{(1 \: - 8 \: ) \longrightarrow}[/tex] ( x₂ , y₂ )
[tex] \sf{Step \: 2} : [/tex] Substitute values into the slope formula and then simplify :
[tex] \boxed{ \sf{slope = \frac{y2 - y1}{x2 - x1}}} [/tex]
↦ [tex] \sf{ \frac{ - 8 - ( - 3)}{1 - 0}} [/tex]
↦ [tex] \sf{ \frac{ - 8 + 3}{1} }[/tex]
↦ [tex] \boxed{ \sf{ - 5}}[/tex]
Hence , Our answer is [tex] \boxed{ \sf{ - 5}}[/tex].
Hope I helped!
Have a wonderful day / night ツ
~TheAnimeGirl ♪
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