Final answer:
The parallel equation to -1.2x + y = 3.8 that passes through the point (5, 0) is found by using the point-slope form with the given point, resulting in the equation y = -1.2x + 6.
Step-by-step explanation:
The student asked about finding a parallel equation to the equation -1.2x + y = 3.8 that passes through the point (5, 0). A parallel line will have the same slope. Thus, the slope of the new equation must remain -1.2, as it is in the original equation. To find the new equation, we use the point-slope form y - y1 = m(x - x1), where (x1, y1) is the point through which the line passes, and m is the slope.
Here, x1 = 5 and y1 = 0, so we substitute to get y - 0 = -1.2(x - 5). Expanding this, we have y = -1.2x + 6. This is the parallel equation to -1.2x + y = 3.8 that passes through (5, 0).