Question

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

Explanation:

Step1: Identify two points on the line

From the graph, we can see that the line passes through the points \((0, 5)\) (the y - intercept) and \((-1, -2)\) (we can also use other points, but these are easy to identify).

Step2: Calculate the slope \(m\)

The formula for the slope \(m\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Let \((x_1,y_1)=(0,5)\) and \((x_2,y_2)=(-1,-2)\). Then \(m=\frac{-2 - 5}{-1-0}=\frac{-7}{-1} = 7\).

Step3: Write the equation 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 \(m = 7\) and \(b = 5\) (since the line crosses the y - axis at \((0,5)\)). So the equation of the line is \(y = 7x+5\).

Answer:

If we assume the question is to find the equation of the line, the answer is \(y = 7x + 5\)