Question

Find the slope of (-9,5) and (-1,7)

Answer 1

m = 1/8

Explanation:

m = y-y/x-x

m = 5-7/-9-7

m = 1/8

Answer 2

`\huge{ \boxed{ \sf{ (1)/(4) }}}`

Explanation:

`\star{ \sf{ \: Let \: the \: points \: be \: A \: and \: B}}`

`\star{ \sf{ \: A( - 9 \:, 5 \: ) \: \longrightarrow \: { \: (x1 \:, y1)}}}`

`\star{ \sf{ \: B( - 1 \:, 7 \: ) \: \longrightarrow{ ( \: x2 \:, y2)}}}`

`\text{ \underline{ Finding \: the \: slope}} :`

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

`\mapsto{ \sf{Slope = (7 - 5)/( - 1 - ( - 9))}}`

`\underline{ \text{Remember!}} : \sf{( - ) * ( - ) = ( + )}`

`\mapsto{ \sf{Slope = (7 - 5)/( -1 + 9)}}`

`\underline{ \text{Remember!}} :`

• The positive integers are always added and posses the positive ( + ) sign.
• The negative integers are always added but posses the negative ( - ) sign.
• The negative and positive integers are always subtracted but posses the sign of the bigger integer.

`\mapsto{ \sf{Slope = (2)/(8) }}`

`\mapsto{ \sf{Slope = (1)/(4) }}`

Hope I helped!

Best regards! :D

~
`\text{TheAnimeGirl}`