write the equation of the line below in slope - intercept form.

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)) and ((x_2,y_2)=(6,-7)). [m=\frac{-7-(-1)}{6 - 0}=\frac{-7 + 1}{6}=\frac{-6}{6}=-1]

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

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

Step3: Write the equation in slope - intercept form

The slope - intercept form of a line is (y=mx + b). Substituting (m=-1) and (b =-1) into the equation. [y=-x-1]

Answer:

(y=-x - 1)