Answer:
The Answer is: y = -5/7x - 4 4/7
Step-by-step explanation:
The given equation:
y = 7/5x + 6
The slope is: 7/5
The slope of a line perpendicular to this line is the negative inverse:
-5/7
Take the given point, (2, -6) and use the point slope form of the equation:
y - y1 = m(x - x1)
y - (-6) = -5/7(x - 2)
y + 6 = -5/7x + 10/7
Subtract 6 from both sides:
y = -5/7x + 10/7 - 6
Find a common denominator:
y = -5/7x + 10/7 - 42/7
y = -5/7x -32/7
y = -5/7x - 4 4/7
