Question

problem 4d
write an equation for this line.
(there is a coordinate grid with a horizontal line drawn, likely representing a linear graph.)

Explanation:

Step1: Identify the line type

The graph shows a horizontal line. Horizontal lines have a slope (\(m\)) of 0. The general form of a line is \(y = mx + b\), where \(b\) is the y - intercept.

Step2: Find the y - intercept

For a horizontal line, the y - value is constant for all \(x\) - values. Looking at the graph, the line crosses the y - axis at \(y=-2\) (since it is 2 units below the origin on the y - axis). Since \(m = 0\) and \(b=-2\), substituting into the equation \(y=mx + b\) gives \(y=0\times x-2\), which simplifies to \(y=-2\).

Answer:

\(y = - 2\)