What is the slope of the line passing through $(- 4, - 8); (- 3, - 3)$ $(-4,-8); (-3,-3)$ ?

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Answer 1 · 2018-06-07T16:07:24

$(y + 8) = 5 (x + 4)$ $(y+8) = 5(x+4)$

First you determine the slope:

$(x_{1}, y_{1}) = (- 4, - 8)$ $(color(blue)(x_1),color(blue)(y_1)) = (-4,-8)$

$(x_{2}, y_{2}) = (- 3, - 3)$ $(color(red)(x_2),color(red)(y_2))=(-3,-3)$

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ $color(green)m =(color(red)(y_2)-color(blue)(y_1))/(color(red)(x_2)-color(blue)(x_1))$

$m = \frac{- 3 - (- 8)}{- 3 - (- 4)}$ $color(green)m =(color(red)(-3)-color(blue)((-8)))/(color(red)(-3)-color(blue)((-4)))$

$m = \frac{- 3 + 8}{- 3 + 4} = \frac{5}{1} = 5$ $color(green)m =(color(red)(-3)+color(blue)(8))/(color(red)(-3)+color(blue)(4)) = 5/1 = 5$

Now use the Point Slope form of a line:

$(y - y_{1}) = m (x - x_{1})$ $(y-color(blue)(y_1)) = color(green)m(x-color(blue)(x_1))$

$(y - (- 8)) = 5 (x - (- 4))$ $(y-color(blue)((-8))) = color(green)(5)(x-color(blue)((-4)))$

$(y + 8) = 5 (x + 4)$ $(y+color(blue)(8)) = color(green)(5)(x+color(blue)(4))$

graph{(y+8) = 5(x+4) [-21.96, 18.04, -3.16, 16.84]}

What is the slope of the line passing through (-4,-8); (-3,-3)(−4,−8);(−3,−3) (-4,-8); (-3,-3)?