Question

Find the slope of the line through the points (-13,15), (20,-7)

Answer 1

`\boxed{ \bold{ \huge{\boxed{ \sf{ ( - 2)/(3) }}}}}`

Explanation:

Let the points be A and B

A ( -13 , 15 ) ⇒( x₁ , y₁ )

B ( 20 , -7 )⇒( x₂ , y₂ )

Finding the slope :

`\boxed{ \sf{slope = (y2 - y1)/(x2 - x1) }}`

plug the values

⇒
`\sf{slope = ( - 7 - 15)/(20 - ( - 13)) }`

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

⇒
`\sf{slope = ( - 7 - 15)/(20 + 13)}`

Calculate the sum

⇒
`\sf{slope = ( - 22)/(33) }`

Reduce the numbers with G.C.F 11

⇒
`\sf{slope = ( - 2)/(3) }`

Hope I helped !

Best regards!!