Final answer:
The equation of the line with a slope of 1/7 and a y-intercept of -2/5 is y = (1/7)x - 2/5.
Step-by-step explanation:
To find the equation of a line given the slope and y-intercept, we can use the slope-intercept form, which is y = mx + b. Here, m represents the slope and b represents the y-intercept.
In this case, the slope is 1/7 and the y-intercept is -2/5. So the equation of the line is y = (1/7)x - 2/5.
For example, if we plug in x = 0, we can find the corresponding y-intercept: y = (1/7)(0) - 2/5 = -2/5. If we plug in x = 7, we can find the corresponding y-value using the slope and y-intercept: y = (1/7)(7) - 2/5 = 1 - 2/5 = 3/5.