Answer:
y = -2/5x + 3
Explanation:
The slope of a line parallel to another line has the same slope. So, the slope of a line parallel to the line y = -2/5x + 3 is -2/5. To write the equation of a line with slope -2/5 that is parallel to y = -2/5x + 3, you can use the point-slope form of a line: y - y1 = m(x - x1), where m is the slope, (x1, y1) is any point on the line, and m is the slope. To use this form, you can choose any point on the line y = -2/5x + 3 and plug in the coordinates for (x1, y1). For example, if you choose (0,3), the equation for the line parallel to y = -2/5x + 3 is:
y - 3 = -2/5(x - 0)
y - 3 = -2/5x
y = -2/5x + 3.