Final answer:
Both lines have the same slope of 5 when transformed into slope-intercept form (y = mx + b), hence the pair of lines are parallel.
Step-by-step explanation:
To determine whether the graphs of the pair of lines are parallel, we need to compare their slopes. For lines to be parallel, they must have the same slope. We can put both given equations into slope-intercept form (y = mx + b) to determine their slopes.
The first equation is 5x - y = 25. To put it into slope-intercept form, we solve for y:
- 5x - y = 25
- -y = -5x + 25
- y = 5x - 25
So the slope (m) of the first line is 5.
The second equation is 4y - 20x = -4. Again, we solve for y:
- 4y - 20x = -4
- 4y = 20x - 4
- y = 5x - 1
The slope (m) of the second line is also 5. Since both lines have the same slope, we can conclude that they are parallel.