Question

What is the slope of the line that goes through `(-3,12)` and `(4,-17)`?

Answer 1

`-29/7`

Explanation:

We are given: `p_1=(color(blue)(x_1),color(red)(y_1))=(color(blue)(-3),color(red)(12))`
We are given: `p_2=(color(orange)(x_2),color(green)(y_2))=(color(orange)(4),color(green)(-17))`

The slope is given as: `m = ((color(green)(y_2)-color(red)(y_1)))/((color(orange)(x_2)-color(blue)(x_1))) = ((color(green)((-17))-color(red)(12)))/((color(orange)(4)-color(blue)((-3)))) = -(29)/(7)`

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