Question

completes the following equations.
enter an equation for line r: ( y = square x )

Explanation:

Step1: Identify two points on line r

From the graph, line r passes through \((0, 0)\) and \((1, -5)\) (or we can also use \((0,0)\) and \((2, -10)\) as seen from the grid).

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 \((x_2,y_2)=(1, - 5)\), we get \(m=\frac{-5 - 0}{1 - 0}=\frac{-5}{1}=- 5\).
Since the line passes through the origin \((0,0)\), the equation of the line in slope - intercept form \(y = mx + b\) (where \(b = 0\) as the y - intercept is 0) is \(y=-5x\).

Answer:

\(-5\)