look at this graph.\nwrite the equation for the relationship shown in the graph. start your equation with y…

look at this graph.\nwrite the equation for the relationship shown in the graph. start your equation with y first, followed by an equals sign. use whole numbers or fractions in simplest form.

look at this graph.\nwrite the equation for the relationship shown in the graph. start your equation with y first, followed by an equals sign. use whole numbers or fractions in simplest form.

Answer

Explanation:

Step1: Identify the slope

The line passes through the origin ((0,0)) and another point, say ((1, -2)) (by looking at the graph, when (x = 1), (y=-2)). The slope (m) is calculated as (\frac{y_2 - y_1}{x_2 - x_1}). Using ((0,0)) and ((1, -2)), (m=\frac{-2 - 0}{1 - 0}=-2).

Step2: Write the equation

The slope - intercept form of a line is (y = mx + b). Since the line passes through the origin ((0,0)), the (y) - intercept (b = 0). Substituting (m=-2) and (b = 0) into the slope - intercept form, we get (y=-2x).

Answer:

(y = - 2x)