Final answer:
To find a point on a line with a slope of 1/5 that passes through (-3,1), one can use the slope-point form of the linear equation. By selecting an arbitrary value of x, solving the equation yields the corresponding y value. Using x=2, we find that the ordered pair (2, 2) lies on the given line.
Step-by-step explanation:
The question asks for an ordered pair that lies on a line with a given slope of 1/5 and passes through a specific point (-3,1). To find such a point, we can use the slope-point form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope. Given the point (-3,1) and the slope (1/5), we plug these values into the formula.
If we choose an arbitrary x value, for example, x = 2, and apply the equation, we can solve for y:
y - 1 = 1/5(2 - (-3))
y - 1 = 1/5(5)
y - 1 = 1
y = 2
Therefore, the ordered pair (2, 2) would be a point on the given line.