Question

1. What is the slope between the points (2,-5) and (8,3)? *

Show work please

Answer 1

`\displaystyle 1(1)/(3)`

Explanation:

`\displaystyle (-y_1 + y_2)/(-x_1 + x_2) = m \\ \\ (5 + 3)/(-2 + 8) = m \hookrightarrow (8)/(6) = m \\ \\ \boxed{1(1)/(3) = m}`

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Answer 2

`\sf m = (4)/(3)`

Explanation:

Given,
`\sf (x_1, ~ y_1)` = (2, -5) and
`\sf (x_2, ~ y_2)` = (8, 3)

The slope formula is,
`\sf m = (y_2 - y_1)/(x_2 - x_1)`

`\sf m = (3 - (-5))/(8 - 2)`

`\sf m = (8)/(6)`

`\bf m = (4)/(3)`