Final answer:
To find an equation that is parallel to y = 3x - 6 and passes through the coordinates (3, 2), we need to keep the slope the same but change the y-intercept. The equation that fulfills these requirements is y = 3x - 7.
Step-by-step explanation:
To find an equation that is parallel to y = 3x - 6 and passes through the coordinates (3, 2), we need to keep the slope the same but change the y-intercept. The slope of the given equation is 3, so the slope of the parallel equation will also be 3. By substituting the values (3, 2) into the equation y = 3x + b, we can solve for the y-intercept:
2 = 3(3) + b
b = 2 - 9
b = -7
Therefore, the equation that is parallel to y = 3x - 6 and passes through the point (3, 2) is y = 3x - 7.