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write the slope-intercept form of the equation of the line through thr given point with the given slope.

through: (-4,0) , slope: - 1/3

Respuesta :

[tex] \bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{0})\qquad \qquad \qquad
slope = m\implies -\cfrac{1}{3}
\\\\\\
\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-0=-\cfrac{1}{3}[x-(-4)]
\\\\\\
y=-\cfrac{1}{3}(x+4)\implies y=-\cfrac{1}{3}x-\cfrac{4}{3} [/tex]

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