what is the slope of this line? simplify your answer and write it as a proper fraction

Explanation:

Step1: Recall the slope formula

The slope formula is (m=\frac{y_2 - y_1}{x_2 - x_1}). Let ((x_1,y_1)=(0,0)) and ((x_2,y_2)=(1,-4)).

Step2: Substitute the values into the formula

Substitute (x_1 = 0,y_1 = 0,x_2=1,y_2=-4) into (m=\frac{y_2 - y_1}{x_2 - x_1}), we get (m=\frac{-4 - 0}{1 - 0}).

Step3: Simplify the expression

(m=\frac{-4}{1}=-4).

Answer:

(-4)