How do you write an equation of a line given point (-5,-1) and m=-5/4?

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Answer 1 · 2016-11-08T19:44:10

$y = \frac{- 5 x - 29}{4}$ $y= (-5x-29)/4$

Using this equation, you can find the equation of the line you're looking for: $y - y_{1} = m (x - x_{1})$ $y-y_1=m(x-x_1)$

In this case, $y_{1} = - 1$ $y_1 = -1$ and $x_{1} = - 5$ $x_1=-5$ , so

$y - (- 1) = - \frac{5}{4} (x - (- 5))$ $y-(-1)= -5/4(x-(-5))$

$y + 1 = - \frac{5}{4} (x + 5)$ $y+1=-5/4(x+5)$

$4 y + 4 = - 5 x - 25$ $4y+4=-5x-25$

$4 y = - 5 x - 29$ $4y=-5x-29$

$y = \frac{- 5 x - 29}{4}$ $y= (-5x-29)/4$