Question

1. write the equation of the line shown on the grid in slope - intercept form.

Explanation:

Step1: Identify the line type

The line shown is a horizontal line (parallel to the x - axis) passing through \(y = 0\) (the x - axis). For a horizontal line, the slope \(m = 0\) because the change in \(y\) (\(\Delta y\)) between any two points on the line is \(0\) (since \(y\) - values are constant), and slope \(m=\frac{\Delta y}{\Delta x}\), so \(m = 0\).

Step2: Recall slope - intercept form

The slope - intercept form of a line is \(y=mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. For a horizontal line passing through the x - axis, the y - intercept \(b = 0\) (because the line crosses the y - axis at \((0,0)\)) and \(m = 0\).

Step3: Substitute \(m\) and \(b\) into the formula

Substitute \(m = 0\) and \(b = 0\) into \(y=mx + b\). We get \(y=0\times x+0\), which simplifies to \(y = 0\).

Answer:

\(y = 0\)