Answer:
y = -5/2x + 7
Step-by-step explanation:
The line is perpendicular, so mx is the reciprocal of 2/5 which would be -5/2. Then you plug that and (4, -3) into the equation y = mx + b, which will come out as -3 = (-5/2)(4) + b. Multiply mx to get -3 = -10 + b. Add 10 to both sides to get 7 = b. Plug in mx and b into the equation and you have your answer.
2x-6=3x+1-x-7
Simplify the right side by combining like terms:
2X - 6 = 2X - 6
Because both sides of the equation are the same any value of X will make this true.