Question

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

Enter your answer in as a fraction.

Answer 1

`\boxed{ \bold{ \huge{ \boxed{ \sf{ (3)/(7) }}}}}`

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{ (y2 - y1)/(x2 - x1) }`

plug the values

⇒
`\sf{ (4 - 1)/(2 - ( - 5)) }`

We know that
`\sf{( - ) * ( - ) = ( + )}`

⇒
`\sf{ (4 - 1)/(2 + 5) }`

Subtract 1 from 4

⇒
`\sf{ (3)/(2 + 5) }`

Add the numbers

⇒
`\sf{ (3)/(7) }`

Hope I helped!

Best regards!!