Final answer:
To find the equation of the line passing through the origin and parallel to the line joining the points (4, 7) and (6, 10), we need to find the slope of the given line and use it to form the equation of the parallel line.
Step-by-step explanation:
To find the equation of the line passing through the origin and parallel to the line joining the points (4, 7) and (6, 10), we first need to find the slope of the line through the given two points. The slope can be found using the formula: slope = (y2 - y1) / (x2 - x1). So, slope = (10 - 7) / (6 - 4) = 3/2.
Since the line we're looking for is parallel to the given line, it will have the same slope. Therefore, the equation of the line passing through the origin and parallel to (4, 7) and (6, 10) is y = (3/2)x.