Question

Find the slope of the line passing through the points (-5,1) and (2,4).

Answer 1

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{ \frac{3}{7} }}}}}$

Step-by-step explanation:

Let the points be A and B

A ( -5 , 1 ) ⇒( x₁ , y₁ )

B ( 2 , 4 )⇒( x₂ , y₂ )

Finding the slope of the line passing through these Points

Slope = $\sf{ \frac{y2 - y1}{x2 - x1} }$

plug the values

⇒$\sf{ \frac{4 - 1}{2 - ( - 5)} }$

We know that $\sf{( - ) \times ( - ) = ( + )}$

⇒$\sf{ \frac{4 - 1}{2 + 5} }$

Subtract 1 from 4

⇒$\sf{ \frac{3}{2 + 5} }$

Add the numbers

⇒$\sf{ \frac{3}{7} }$

Hope I helped!

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