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Choose the equation below that represents the line passing through the point (1, -4) with a slope 1/2.

A: y - 4 = 1/2(x - 1)

B: y + 4 = 2(x - 1)

C: y + 4 = 1/2( x - 1)

D: y - 4 = 2(x + 1)

Please explain why!

Respuesta :

[tex]\bf (\stackrel{x_1}{1}~,~\stackrel{y_1}{-4})\qquad \qquad \qquad slope = m\implies \cfrac{1}{2} \\\\\\ % point-slope intercept \stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-(-4)=\cfrac{1}{2}(x-1)\implies y+4=\cfrac{1}{2}(x-1)[/tex]

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