find the slope of the line if it exists.

Explanation:

Step1: Identify two points on the line

From the graph, we can take two points. Let's say ((x_1,y_1)=(0,1)) and ((x_2,y_2)=(4, - 5))

Step2: Use the slope formula (m=\frac{y_2 - y_1}{x_2 - x_1})

Substitute the values of the points into the formula: [ \begin{align*} m&=\frac{-5 - 1}{4-0}\ &=\frac{-6}{4}\ &=-\frac{3}{2} \end{align*} ]

Answer:

(-\frac{3}{2})