Question

Find the gradient of the line segment between the points (0,-3) and (1,-8).

Answer 1

`\huge{ \boxed{ \bold{ \tt{ - 5}}}}`

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`\tt{Question} :`

• Find the gradient / slope of the line segment between the points points ( 0 , - 3 ) and ( 1 , -8 ).

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`\tt{Step - by - step \: explanation : }`

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`\tt{Solution : }`

`\sf{Step \: 1} :` Assign one of the ordered pairs to be ( x₁ , y₁ ) and another to be ( x₂ , y₂ )

• 
  `\sf{(0 \: - 3) \longrightarrow}` ( x₁ , y₁ )
• 
  `\sf{(1 \: - 8 \: ) \longrightarrow}` ( x₂ , y₂ )

`\sf{Step \: 2} :` Substitute values into the slope formula and then simplify :

`\boxed{ \sf{slope = (y2 - y1)/(x2 - x1)}}`

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`\sf{ ( - 8 - ( - 3))/(1 - 0)}`

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`\sf{ ( - 8 + 3)/(1) }`

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`\boxed{ \sf{ - 5}}`

Hence , Our answer is
`\boxed{ \sf{ - 5}}`.

Hope I helped!

Have a wonderful day / night ツ

~TheAnimeGirl ♪

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