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write an equation of a line in point-slope form that passes through (-4,-7) and has a slope of -2

Answer :

[tex]\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-7}) \qquad \qquad \qquad % slope = m slope = m\implies -2 \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-7)=-2[x-(-4)] \\\\\\ y+7=-2(x+4)[/tex]

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