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Sagot :
Given:
A line has a slope = -9
The line passing through the point (-4 , -2)
the general form of the equation of the line in point - slope form is :
[tex]y-k=m\mathrm{}(x-h)[/tex]Where: m is the slope, and ( h,k) is the point
So,
[tex]\begin{gathered} m=-9 \\ h=-4 \\ k=-2 \end{gathered}[/tex]So, the equation of the line will be:
[tex]\begin{gathered} y-(-2)=-9\cdot(x-(-4)) \\ \\ y+2=-9(x+4) \end{gathered}[/tex]The answer is option C. y + 2 = -9 ( x + 4 )
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