Respuesta :

When you know the slope [tex]m[/tex] and a point [tex](x_0,y_0)[/tex] of a line, the equation of the line is given by

[tex]y-y_0=m(x-x_0)[/tex]

So, your line is given by

[tex]y-2=-\dfrac{1}{2}(x+1) \iff y=-\dfrac{1}{2}x-\dfrac{1}{2}+2=-\dfrac{1}{2}x+\dfrac{3}{2}[/tex]

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