Question

enter your answer in the box.
y = \boxed{} x

Explanation:

Step1: Identify two points on the line

We can see the line passes through the origin \((0,0)\) and another point, for example, \((2,6)\) (or \((-1, -6)\), but let's use \((2,6)\) for simplicity).

Step2: Calculate the slope \(m\)

The slope formula is \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Using \((x_1,y_1) = (0,0)\) and \((x_2,y_2) = (2,6)\), we get \(m = \frac{6 - 0}{2 - 0} = \frac{6}{2} = 3\).

Step3: Determine the equation of the line

Since the line passes through the origin, the equation is in the form \(y = mx\), where \(m\) is the slope we just calculated. So \(y = 3x\).

Answer:

3