find the equation of this line. simplify your answer completely.

Explanation:

Step1: Find the slope (m)

The formula for slope (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(0,1)) (the (y -)intercept point) and ((x_2,y_2)=(-1,-3)). Then (m=\frac{-3 - 1}{-1-0}=\frac{-4}{-1}=4).

Step2: Find the (y -)intercept (b)

The (y -)intercept (b) is the value of (y) when (x = 0). From the graph, when (x = 0), (y=1), so (b = 1).

Answer:

(y = 4x+1)