Find the slope of the line that passes through the points (2, 1) and (-4, -5).?

Method I - Think it through The slope is -5 so for each decrease of 5 in y, there is an increase of 1 in x. Since y has change from 7 to 2 this is a decrease of 5 in y Therefor x has increased by 1 from -2 to -1 Therefor a = -1 <----- ---------------------- Method II - Do the math m = -5 m = (y? - y?) / (x?

- x?) Plugging in the points (a , 2) and (-2, 7) -5 = (7 - 2) / (-2 - a) multiply both sides by (-2 - a) -5(-2 - a) = (7 - 2) Simplify 10 + 5a = 5 Subtract 10 form both sides 5a = -5 Divide both sides by 5 a = -1.

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