What is the slope of the line passing through the following points: $(- 3, - 2), (- 4, 1)$ $(-3,-2),(-4, 1)$ ?

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Answer 1 · 2015-12-02T10:48:41

$y = - 3 x - 11$ $y=-3x-11$

If you know two points of a line with coordinates $(x_{1}, y_{1})$ $(x_1,y_1)$ and $(x_{2}, y_{2})$ $(x_2,y_2)$ , then the equation for the line is

$\frac{x - x_{2}}{x_{1} - x_{2}} = \frac{y - y_{2}}{y_{1} - y_{2}}$ $\frac{x-x_2}{x_1-x_2} = \frac{y-y_2}{y_1-y_2}$

Plug your values:

$\frac{x + 4}{- 3 + 4} = \frac{y - 1}{- 2 - 1}$ $\frac{x+4}{-3+4} = \frac{y-1}{-2-1}$

$x + 4 = \frac{y - 1}{- 3}$ $x+4 = \frac{y-1}{-3}$

$- 3 (x + 4) = y - 1$ $-3(x+4)=y-1$

$- 3 x - 12 = y - 1$ $-3x-12=y-1$

$y = - 3 x - 11$ $y=-3x-11$

What is the slope of the line passing through the following points: (-3,-2),(-4, 1) (−3,−2),(−4,1)(-3,-2),(-4, 1) ?