Question

1.copy the graph and write the equation of the line.

Explanation:

Step1: Identify two points

From the graph, we can see that the line passes through the points \((2, 0)\) and \((0, -2)\).

Step2: Calculate the slope

The slope \(m\) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Using \((2, 0)\) and \((0, -2)\), we have \(m=\frac{-2 - 0}{0 - 2}=\frac{-2}{-2}=1\).

Step3: Determine the y-intercept

The y-intercept \(b\) is the value of \(y\) when \(x = 0\). From the point \((0, -2)\), we see that \(b=-2\).

Step4: Write the equation

The slope - intercept form of a line is \(y=mx + b\). Substituting \(m = 1\) and \(b=-2\), we get \(y=x - 2\).

Answer:

The equation of the line is \(y = x-2\)