How do you find the slope of the line that passes through the points (6, -8) and (-3, 4)?

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Answer 1 · 2018-03-28T04:05:28

See below.

To find the slope of a line, with two existing points, all we have to do is use the formula:

#(color(red)(y_2)-color(blue)(y_1))/(color(green)(x_2)-color(orange)(x_1))#

Because we were given two points, here are the respective values:

#color(red)(y_2)=4#
#color(blue)(y_1)=-8#
#color(green)(x_2)=-3#
#color(orange)(x_1)=6#

Now, we simply plug in our values and solve:

#(color(red)(y_2)-color(blue)(y_1))/(color(green)(x_2)-color(orange)(x_1)) => (color(red)(4)-color(blue)((-8)))/(color(green)(-3)-color(orange)(6))#

#=12/-9#

#=-4/3#