Question

write your answer using integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the point \((0, -6)\) (the y - intercept) and let's find another point. Let's take \(x = 8\), when \(x = 8\), we can calculate the \(y\) - value. First, we need to find the slope \(m\) of the line. The slope formula is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let's use the points \((0,-6)\) and \((8, - 5)\) (by looking at the graph, when \(x = 8\), \(y=-5\)). So \(x_1 = 0,y_1=-6,x_2 = 8,y_2=-5\).

Step2: Calculate the slope

Using the slope formula \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{-5-(-6)}{8 - 0}=\frac{-5 + 6}{8}=\frac{1}{8}\)

Step3: Write the equation of the line

The slope - intercept form of a line is \(y=mx + b\), where \(m\) is the slope and \(b\) is the y - intercept. We know that \(m=\frac{1}{8}\) and \(b=-6\) (since the line crosses the y - axis at \((0,-6)\)). So the equation of the line is \(y=\frac{1}{8}x-6\)

If the question was to find the equation of the line, the above steps are for that. But since the original question was not fully stated (the user just provided the graph and a text box), assuming we need to find the slope - intercept form of the line:

Answer:

\(y=\frac{1}{8}x - 6\)