Final answer:
The equation of a line parallel to line ST passing through point V can be found by determining the slope of ST and using the point-slope form with point V's coordinates.
Step-by-step explanation:
To find the equation of the line parallel to line ST that passes through point V, we need to follow these steps:
- Determine the slope (m) of line ST. Since parallel lines have identical slopes, line ST's slope will be the same for the line that passes through point V.
- Use the point-slope form of a line's equation, which is y - y1 = m(x - x1), where m is the slope and (x1, y1) is point V.
- Substitute the coordinates of point V and the slope (m) into the equation to find the specific equation of the parallel line.
For example, if line ST has a slope of 2 and point V is at coordinates (3,4), the equation of the parallel line would be y - 4 = 2(x - 3), which simplifies to y = 2x - 2.