Question

1. what is the equation of the line below? type a response

Explanation:

Step1: Identify two points

From the graph, let's take two clear points. Let's say the left point is \((-8, 5)\) and the right point is \((8, 1)\) (assuming each grid square is 1 unit).

Step2: Calculate the slope (\(m\))

The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substituting \(x_1=-8,y_1 = 5,x_2 = 8,y_2=1\), we get \(m=\frac{1 - 5}{8-(-8)}=\frac{-4}{16}=-\frac{1}{4}\).

Step3: Find the y - intercept (\(b\))

The line crosses the y - axis at \((0, 3)\) (by looking at the graph, when \(x = 0\), \(y=3\)). So \(b = 3\).

Step4: Write the equation

The slope - intercept form of a line is \(y=mx + b\). Substituting \(m=-\frac{1}{4}\) and \(b = 3\), we get \(y=-\frac{1}{4}x+3\).

Answer:

\(y =-\frac{1}{4}x + 3\)