Question

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

Answer 1

Step-by-step 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 )

$\underline{ \underline{ \text{Solution}}} :$

$\boxed{ \sf{slope = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} }}$

~Plug the known values and then simplify !

⟼ $\tt{ \frac{3- ( - 1)}{0- ( - 3)}}$

⟼ $\tt{ \frac{3 + 1 }{0 + 3} }$

⟼ $\tt{ \frac{4}{3}}$

$\red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \underline{ \boxed{ \tt{ \frac{4}{3}}}}}}}}$

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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