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

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Answer 1 · 2018-06-07T16:07:24

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

First you determine the slope:

$(color(blue)(x_1),color(blue)(y_1)) = (-4,-8)$

$(color(red)(x_2),color(red)(y_2))=(-3,-3)$

$color(green)m =(color(red)(y_2)-color(blue)(y_1))/(color(red)(x_2)-color(blue)(x_1))$

$color(green)m =(color(red)(-3)-color(blue)((-8)))/(color(red)(-3)-color(blue)((-4)))$

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

Now use the Point Slope form of a line:

$(y-color(blue)(y_1)) = color(green)m(x-color(blue)(x_1))$

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

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

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)?