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Which is the slope of the line that passes through the points (−2,4) and (5,−1)?

slope = 2/3
slope = -7/5
slope = -3
slope = -5/7

Respuesta :

Formula of the slope of the line
m=(y2-y1)/(x2-x1)

y2= -1, y1 = 4
x2=5, x1 = -2

m=(-1-4)/(5-(-2)) = -5/7

Answer is D. slope = -5/7

The slope of the line is [tex]\frac{-5}{7}[/tex].

Given that,

  • It passes through the points (−2,4) and (5,−1).

Based on the above information, the calculation is as follows:

[tex]m=(y2-y1)\div (x2-x1)[/tex]

Here,  

y2= -1, y1 = 4

x2=5, x1 = -2

Now  

[tex]m=(-1-4)\div (5-(-2))\\\\= -5\div 7[/tex]

Learn more: brainly.com/question/17429689

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