04-08-2016
Mathematics

contestada

Write the equation of the line that passes through (2,4) and has a slope of -1 in point slope form

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dalendrk dalendrk

04-08-2016

[tex]The\ slope-point\ form:y-y_0=m(x-x_0)\\\\m=-1\\(2;\ 4)\to x_0=2\ and\ y_0=4\\\\subtitute\\\\y-4=-1(x-2)\\y-4=-x+2\ \ \ \ |add\ 4\ to\ both\ sides\\\\\boxed{y=-x+6}[/tex]

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