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 \((0, 6)\) (the y - intercept) and \((10, 0)\) (the x - intercept).

Step2: Calculate the slope

The slope \(m\) of a line passing through two points \((x_1,y_1)\) and \((x_2,y_2)\) is given by the formula \(m=\frac{y_2 - y_1}{x_2 - x_1}\).
Let \((x_1,y_1)=(0,6)\) and \((x_2,y_2)=(10,0)\).
Substitute the values into the formula: \(m=\frac{0 - 6}{10 - 0}=\frac{-6}{10}=-\frac{3}{5}\)

Step3: Write the equation of the line in 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.
We know that \(m =-\frac{3}{5}\) and \(b = 6\) (since the line crosses the y - axis at \((0,6)\)).
So the equation of the line is \(y=-\frac{3}{5}x + 6\)

Answer:

If we were asked for the equation of the line, the answer is \(y =-\frac{3}{5}x+6\). If we were asked for the slope, the answer is \(-\frac{3}{5}\), and if we were asked for the y - intercept, the answer is \(6\). (Since the original question was not fully stated, but based on the graph and the instruction to use integers, proper fractions, and improper fractions in simplest form, the most likely task is to find the equation of the line or the slope. Here we assume the task is to find the equation of the line) \(y =-\frac{3}{5}x + 6\)