Question

Since slope is calculated using the formula m = y2 - v1 -, the slope of both lines is equivalent to x2 - x1 it is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes. True or False?

Answer 1

True, parallel lines have the same slopes.

Step-by-step explanation:

The statement that parallel lines have the same slopes is true.

To understand why, let's consider the formula for calculating the slope of a line. The formula is: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are two points on the line. When two lines are parallel, they have the same slope because they have the same rate of change along the x-axis.

For example, if one line has a slope of 5 and another line is parallel to it, the second line will also have a slope of 5. This means that for every increase of 1 on the x-axis, both lines will rise by 5 units.