Step-by-step explanation:
Let the points of the given coordinates ( -3 , -1 ) & ( 0 , 3 ) be A and B respectively.
[tex] \underline{ \underline{ \text{Given}}} : [/tex]
- A ( -3 , -1 ) & B ( 0 , 3 )
Let A ( -3 , -1 ) be ( x₁ , y₁ ) & B ( 0 , 3 ) be ( x₂ , y₂ )
[tex] \underline{ \underline{ \text{To \: Find}}} : [/tex]
- Slope of the line that passes through the points A ( -3 , -1 ) & B ( 0 , 3 )
[tex] \underline{ \underline{ \text{Solution}}} : [/tex]
[tex] \boxed{ \sf{slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} }}[/tex]
~Plug the known values and then simplify !
⟼ [tex] \tt{ \frac{3- ( - 1)}{0- ( - 3)}} [/tex]
⟼ [tex] \tt{ \frac{3 + 1 }{0 + 3} }[/tex]
⟼ [tex] \tt{ \frac{4}{3}} [/tex]
[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \underline{ \boxed{ \tt{ \frac{4}{3}}}}}}}} [/tex]
Hope I helped ! ♡
Have a wonderful day / night ! ツ
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