Step-by-step explanation:
[tex]y = - 2x + 3[/tex]
The slope of the above line = -2
slope of the line perpendicular to the above line = 1/2
If it passes through point (4,-3) , it's equation
[tex] \frac{y - ( - 3)}{x - 4} = \frac{1}{2} [/tex]
[tex] \frac{y + 3}{x - 4} = \frac{1}{2} [/tex]
[tex]2(y + 3) = x - 4[/tex]
[tex]2y + 6 = x - 4[/tex]
[tex]x - 4 - 2y - 6 = 0[/tex]
[tex]x - 2y - 10 = 0[/tex]
A = 1, B = -2 and C = -10
A+B+C= 1+(-2)+(-10)
= 1-2-10
= 1-12
= -11
