Final answer:
To graph the equation y - 2 = -3/4(x - 6), plot the point (6, 2) and use the slope -3/4 to find another point by moving down 3 units and right 4 units. Draw the line through these points, which gives answer choice B as the correct graph representation.
Step-by-step explanation:
The question involves graphing the equation y - 2 = -3/4(x - 6) using the point and slope given. This is an equation of a line in point-slope form, where the point (6, 2) is where the line crosses the x-axis and the slope is -3/4. Graphing this line involves plotting the point (6, 2) on a coordinate plane and then using the slope, which indicates that for every 4 units you move to the right (positive direction along the x-axis), you move 3 units down (negative direction along the y-axis), to find additional points for the line. The correct answer will be a line with these characteristics.
To graph the line, follow these steps:
- Plot the initial point (6, 2) on the coordinate plane.
- From this point, use the slope to find a second point. Since the slope is -3/4, you can go down 3 units and right 4 units from the initial point to find another point on the line.
- Draw the line through these two points, extending it in both directions.
Therefore, the correct choice is B. A line with a slope of -3/4 passing through (6, 2).