What line includes the points $(2, 3)$ $(2, 3)$ and $(- 1, - 24)$ $(- 1,-24)$ ?

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Answer 1 · 2018-03-27T02:00:35

Find the slope, then substitute the slope and another point in to find $c$ $c$ .

$slope = \frac{- 24 - 3}{- 1 - 2} = 9$ $"slope" = (-24-3)/(-1-2) = 9$

So far

$y = 9 x + c$ $y=9x+c$

Substitute in the point $(2, 3)$ $(2,3)$

$3 = 9 (2) + c$ $3=9(2)+c$

$3 = 18 + c$ $3=18+c$

$- 15 = c$ $-15=c$

Therefore, the line is

$y = 9 x - 15$ $y=9x-15$

What line includes the points (2, 3)(2,3)(2, 3) and (- 1,-24)(−1,−24)(- 1,-24)?