Answer:
y = 3/8x + 3
Explanation:
Parallel lines have the same slope. In given equation, y = 3/8x + 5, the slope, m = 3/8. Therefore, the other line must also have the same slope.
Using the slope, m = 3/8, and the given point, (16, 9), substitute these values into the slope-intercept form:
y = mx + b
9 = 3/8(16) + b
9 = 6 + b
9 - 6 = 6 - 6 + b
3 = b (this is the y-intercept).
Now that we have our slope, m = 3/8, and the y-intercept, b = 3:
The equation of the line parallel to y = 3/8x + 5 is:
y = 3/8x + 3