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Given two points coordinate


(2,-4)\text{ and (-3,-3)}

The equation of the line in slope-intercept form can be obtained using


y-y_1=(y_2-y_1)/(x_2-x_1)(x-x_1)

Define the x and y values, then substitute in the above formula


x_1=2,y_1=-4,x_2=-3,y_2=-3
\begin{gathered} y-(-4)=(-3-(-4))/(-3-2)(x-2) \\ y+4=(-3+4)/(-5)(x-2) \\ y+4=-(1)/(5)(x-2) \end{gathered}
\begin{gathered} y+4=-(1)/(5)x+(2)/(5) \\ y=-(1)/(5)x+(2)/(5)-4 \\ y=-(1)/(5)x-(18)/(5) \end{gathered}

Hence, Option C is the correct answer

User Jako Basson
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