So the slope from this equation is 3/7. Since the line is going to be perpendicular, this slope needs to be the opposite reciprocal. In order to do this, you need to flip 3/7 upside down and make it negative.
Step 2: Use point - slope form to find the y - intercept from the ordered pair (0, -6/7).
Formula for point - slope form is y - y1 = m (x - x1)
y - (-6/7) = -7/3 (x - 0) y + 6/7 = -7/3 (x - 0) y + 6/7 = -7/3x + 0 -6/7 -6/7 ---------------------------------- y = -7/3x - 6/7
This step proves that the y - intercept has to be -6/7.
Step 3: Your final answer should be y = -7/3 - 6/7.