Final answer:
The slope-intercept form of the equation of the line that contains the points (3, 8) and (6, 5) is y = -x + 11.
Step-by-step explanation:
To find the slope-intercept form of the equation of a line that contains two points, we first need to find the slope using the formula: m = (y2 - y1) / (x2 - x1). Let's use the points (3, 8) and (6, 5).
Using the formula, we get m = (5 - 8) / (6 - 3) = -3/3 = -1.
Now that we have the slope, we can use one of the given points and the slope in the equation y = mx + b to solve for the y-intercept (b). Let's use the point (3, 8).
Plugging in the values, we get 8 = -1(3) + b, which simplifies to 8 = -3 + b. Adding 3 to both sides, we find b = 11.
Therefore, the slope-intercept form of the equation of the line is y = -x + 11.
Learn more about slope-intercept form of an equation