Find the slope of a line if the points (2,-1) and (5,3) are on the line

Mathematics

1 answer:

Romashka [77]3 years ago

4 0

Answer:

$\huge{ \boxed{ \sf{ \frac{4}{3} }}}$

Step-by-step explanation:

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

$\star{ \sf{ \: Let \: a(2,-1) \: be \: (x1 \:, y1) \: and \: b (5,3) \: be \: (x2 \:, y2)}}$

$\underline{ \sf{Finding \: the \: slope \: of \: the \: line}}$

$\boxed{ \sf{Slope = \frac{y2 - y1}{x2 - x1} }}$

$\mapsto{ \sf{Slope = \frac{3 - ( - 1)}{5 - 2} }}$

$\mapsto{ \sf{Slope = \frac{3 + 1}{5 - 2}}}$

$\mapsto{ \sf{Slope = \frac{4}{3} }}$

Hope I helped!

Best regards! :D

~ $\text{TheAnimeGirl}$

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