Question

Find the slop of the line that passes through the points (-3,-1) and (0,3)​

Answer 1

Explanation:

Let the points of the given coordinates ( -3 , -1 ) & ( 0 , 3 ) be A and B respectively.

`\underline{ \underline{ \text{Given}}} :`

• A ( -3 , -1 ) & B ( 0 , 3 )

Let A ( -3 , -1 ) be ( x₁ , y₁ ) & B ( 0 , 3 ) be ( x₂ , y₂ )

`\underline{ \underline{ \text{To \: Find}}} :`

• Slope of the line that passes through the points A ( -3 , -1 ) & B ( 0 , 3 )

`\underline{ \underline{ \text{Solution}}} :`

`\boxed{ \sf{slope = (y_(2) - y_(1))/(x_(2) - x_(1)) }}`

~Plug the known values and then simplify !

⟼
`\tt{ (3- ( - 1))/(0- ( - 3))}`

⟼
`\tt{ (3 + 1 )/(0 + 3) }`

⟼
`\tt{ (4)/(3)}`

`\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \underline{ \boxed{ \tt{ (4)/(3)}}}}}}}`

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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