Final answer:
Parallel lines have the same slope. Therefore, a line that is parallel to a line with a slope of m = 3/4 would also have a slope of m = 3/4.
Step-by-step explanation:
In mathematics, specifically in the study of straight lines, the slope of a line helps determine its shape. In simple terms, the slope or 'm' is a measure of how steep the line is. It's calculated by measuring the rise (vertical change) over run (horizontal change). If one line is parallel to another, it means they have the same slope.
Given that the slope of our reference line is m = 3/4, a line that would be parallel to this would also have a slope of m = 3/4. Because parallel lines always have identical slopes, we can say that any line with a slope of 3/4 would be parallel to our reference line.
Learn more about Slope of Parallel Lines