To make the blue line parallel to the red line, we need to adjust the slope of the blue line so that it matches the slope of the red line.

The slope $m$ of a line in the form $y = mx + b$ (where $m$ is the slope and $b$ is the y-intercept) defines its steepness. Parallel lines have equal slopes.

Here’s the step-by-step approach to solve the problem:

1. Determine the slope of the red line: The red line appears to have a negative slope since it moves downward as you go from left to right. By identifying two points on the red line, such as where it crosses the x-axis and y-axis, we can calculate its slope.

2. Adjust the slope of the blue line: The blue line's points can be moved so that the slope matches that of the red line.

   • If you adjust the two blue points such that the rise over run (change in y over change in x) equals the slope of the red line, the two lines will become parallel.

Would you like a more detailed calculation of the red line's slope or how to adjust the blue points accordingly?

Here are 5 relative questions to expand on this:

1. What is the equation of a line that passes through two points?
2. How do you calculate the slope between two points on a graph?
3. How do you determine if two lines are parallel or perpendicular?
4. What is the effect of shifting a line vertically (changing its y-intercept)?
5. How can you use slope-intercept form to graph a line?

Tip: Always check the coordinates of the points on the line to calculate the slope accurately.