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How do you write the equation of a line given (-3,1) and (-2,-3)?

1 Answer

Mar 12, 2018

The formula is $y = - 4 x - 11$ $y=-4x-11$ .

Explanation:

To find an equation of a linear line, you need the gradient and a point's coordinate.

The general formula for gradient is $m = \frac{y_{1} - y_{2}}{x_{1} - x_{2}}$ $m=(y_1-y_2)/(x_1-x_2)$ ,

$m = \frac{1 - (- 3)}{- 3 - (- 2)}$ $m=(1-(-3))/(-3-(-2))$
$m = - 4$ $color(white)(m)=-4$

The formula of a linear equation is $y - y_{1} = m (x - x_{1})$ $y-y_1=m(x-x_1)$ ,

$y - 1 = - 4 (x - (- 3))$ $y-1=-4(x-(-3))$
$y - 1 = - 4 x - 12$ $y-1=-4x-12$
$y = - 4 x - 11$ $y=-4x-11$

Hence, the formula is $y = - 4 x - 11$ $y=-4x-11$ .

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