Find the equation of a line through (4,-5) perpendicular to 6x-2y=7

Answer: y=-1/3+2/3

Step-by-step explanation:

1. 6x-2y=7 subtract 6x from both sides.

2. - 2y=-6x+7 divide both sides by - 2 to isolate y

3. y=3x+7 that's the y=Mx+b format, now we must find the negative inverse of the slope (m) which is - 1/3.

4. Plug in variables.

-5=-1/3 (4) + b

5. Solve:

-5=-4/3+b

add 4/3 to both sides to get - 3 2/3=b

6. Make y=mx+b equation.

y=-1/3x+2/3