Respuesta :

Answer:

y =  [tex]\frac{-1}{2} x+\frac{-1}{2}[/tex]

Step-by-step explanation:

Standard equation in point slope form is :

y-y_0 = m(x-x_0) +c

where m = slope = -1/2

(x_0,y_0) is the point from which the lines passes through = (5,-3)

We get the equation as,  

y-(-3) = -1/2(x-5)

y+3 = [tex]\frac{-1}{2}[/tex](x-5)

y = [tex]\frac{-1}{2} x+\frac{5}{2}-3[/tex]

y =  [tex]\frac{-1}{2} x+\frac{-1}{2}[/tex]

Hence, m= -1/2  and c = -1/2

Required equations is:

y =  [tex]\frac{-1}{2} x+\frac{-1}{2}[/tex]

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