Question

y = type your answer... x + -2

Explanation:

Step1: Identify two points on the line

We can see that the line passes through \((0, -2)\) (the y - intercept) and \((2, -6)\).

Step2: Calculate the slope (m)

The formula for slope \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0, - 2)\) and \((x_2,y_2)=(2, - 6)\). Then \(m=\frac{-6-(-2)}{2 - 0}=\frac{-6 + 2}{2}=\frac{-4}{2}=- 2\).

The equation of a line in slope - intercept form is \(y=mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. We know \(b=-2\) (from the point \((0,-2)\)) and \(m = - 2\). So the equation of the line is \(y=-2x-2\). The coefficient of \(x\) (the slope) is \(-2\).

Answer:

\(-2\)