Answer:
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 = [tex] \sf{ \frac{y2 - y1}{x2 - x1} }[/tex]
plug the values
⇒[tex] \sf{ \frac{4 - 1}{2 - ( - 5)} }[/tex]
We know that [tex] \sf{( - ) \times ( - ) = ( + )}[/tex]
⇒[tex] \sf{ \frac{4 - 1}{2 + 5} }[/tex]
Subtract 1 from 4
⇒[tex] \sf{ \frac{3}{2 + 5} }[/tex]
Add the numbers
⇒[tex] \sf{ \frac{3}{7} }[/tex]
Hope I helped!
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