The equation of the line in slope-intercept form is y = -x + 6.
To find the equation of the line in slope-intercept form, we can use the information given by graph: the y-intercept is 6, and we have two points on the line: (6, 0) and (7, -1).
Step 1: Find the slope
The slope (m) is the ratio of the change in y-coordinates to the change in x-coordinates between two points on the line.
Using the points (6, 0) and (7, -1), we can calculate the slope using the formula:
slope = (change in y) / (change in x)
slope = (-1 - 0) / (7 - 6) = -1 / 1 = -1
Step 2: Write the equation in slope-intercept form
The slope-intercept form of a linear equation is y = mx + b, where m is the slope and b is the y-intercept.
In this case, the slope (m) is -1, and the y-intercept (b) is 6.
Substituting these values into the equation, we get:
y = -x + 6
Therefore, the equation of the line in slope-intercept form is y = -x + 6.