To find the equation of the line in slope-intercept form (y = mx + b), we need to determine the slope (m) and the y-intercept (b). First, we calculate the slope using the formula:
m = (y2 – y1) / (x2 – x1)
Plugging in the given points (6, 1) and (3, 2), where (x1, y1) = (6, 1) and (x2, y2) = (3, 2):
m = (2 – 1) / (3 – 6) = 1 / -3 = -1/3
Now that we have the slope, we can use one of the points to find the y-intercept (b). We’ll use the point (6, 1):
y = mx + b
1 = (-1/3)(6) + b
1 = -2 + b
b = 1 + 2 = 3
Now that we have both the slope and the y-intercept, the equation of the line in slope-intercept form is:
y = -1/3x + 3