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The ordered pairs (-4,7) and (8,-20) are points on a linear function. Which equation best describes this function?

f(x) = 13/4x - 46
f(x) = -9/4x - 2
f(x) = - 27/4x + 34
f(x) = 9/4x - 38

Respuesta :

First using the given points we need to find the slope of the line.

[tex]Slope=m= \frac{Rise}{Run} \\ \\ m= \frac{-20-7}{8-(-4)}= \frac{-27}{12}= \frac{-9}{4} [/tex]

So, the slope of the line is -9/4

Using the slope and a point we can write the equation of line in slope-intercept form as:

[tex]y-7=- \frac{9}{4}(x-(-4)) \\ \\ y= \frac{-9}{4}x-9+7 \\ \\ y=\frac{-9}{4}x-2[/tex]

So the correct answer to this question is option B

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