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Find the equation of the line in slope intercept form that passes through the following points with the given slope. Simply your answer

Find the equation of the line in slope intercept form that passes through the following-example-1

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Solution

Given:

Slope = -1

Point the line is passing through = (-2, 10)

The equation of the line can be calculated by the formula


\begin{gathered} y-y_1=m(x-x_1) \\ Where\text{ \lparen x}_1,y_1)=(-2,10)\text{ and m = -1} \end{gathered}
\begin{gathered} y-10=-1(x-(-2)) \\ y-10=-1(x+2) \\ y-10=-x-2 \\ y=-x-2+10 \\ y=-x+8 \end{gathered}

The equation of the line is y = -x + 8

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