Final answer:
The statement that slopes of two parallel lines are the same is true, as parallel lines have identical inclinations to the x-axis and thus the same slope.
Step-by-step explanation:
If two lines are parallel, their slopes are the same, which is true. In coordinate geometry, the slope or gradient of a line describes its steepness, incline, or grade. A slope is calculated as the ratio of the vertical change between two points (the rise) to the horizontal change between the same two points (the run). When two lines are parallel, they have the same inclination to the x-axis which means they have identical slopes.
For example, consider line A and line B, both parallel to each other. If line A has a slope of 3, this means for every 3 units line A goes up or down, it goes across 1 unit. Since line B is parallel to line A, it will also have a slope of 3, maintaining the same rate of rising or falling over the horizontal run.