write the equation of the line in point - slope form using the indicated point. the equation of the line is…

Explanation:

Step1: Find the slope

From the graph, assume another point ((x_2,y_2)=(5, - 5)) and take a point on the (y) - axis (for simplicity, when (x = 3), (y=-1)). Use the slope formula (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(3,-1)) and ((x_2,y_2)=(5,-5)). Then (m=\frac{-5-( - 1)}{5 - 3}=\frac{-5 + 1}{2}=\frac{-4}{2}=-2).

Step2: Use the point - slope form

The point - slope form of a line is (y - y_1=m(x - x_1)). We can use the point ((x_1,y_1)=(3,-1)) and (m=-2). Substitute into the formula: (y-(-1)=-2(x - 3)).

Answer:

(y + 1=-2(x - 3))