Question

A line passes through the points (2, -1) and (9,3). What is the slope of the line?

Answer 1

`\huge{ \boxed{ \tt{ (4)/(7) }}}`

Explanation:

Let the points be A and B

`\sf{A(2 \: , - 1) \longrightarrow \: (x1 \:, y1)}`

`\sf{B(9 \: ,3 \: ) \longrightarrow \: (x2 \:, y2)}`

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

`\boxed{ \rm{Slope \: ( \: m \: ) \: = (y2 - y1)/(x2 - x1) }}`

`\rm{Slope = (3 - ( - 1))/(9 - 2) }`

`\rm{Slope = (3 + 1)/(9 - 2)}`

`\rm{Slope = \boxed{ \rm (4)/(7) }}`

Hope I helped!

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~TheAnimeGirl