#### ” Draw three lines with slope 2, and three lines with slope 1/3. What do you notice “

**Answer:**

Drawing the lines with slopes of 2 and 1/3 shows that lines with the same slope are parallel. Furthermore, lines with a slope of 2 are steeper than those with a slope of 1/3.

**Explanation:**

First, let’s draw three lines with a slope of 2. The slope-intercept form of the equation of a line is y = mx + b, where m is the slope and b is the y-intercept. Therefore, three lines with a slope of 2 could be represented by the equations y = 2x, y = 2x + 1, and y = 2x – 1.

Next, let’s draw three lines with a slope of 1/3. Similarly, these could be represented by the equations y = (1/3)x, y = (1/3)x + 1, and y = (1/3)x – 1.

When we draw these lines, we can see that all the lines with the same slope are parallel to each other. Furthermore, the lines with a slope of 2 are steeper than the lines with a slope of 1/3, reflecting the fact that a larger slope indicates a steeper angle of ascent.

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