Question

What are the values of a, b and c if $-2x+\frac{3}{2}y-4=0$ is represented in the form of ax + by + c = 0?

• A. a = -2, b = \(\frac{3}{2}, c = -4
• B. a = -2, b = 3, c = -4
• C. a = -4, b = 3, c = -8
• D. a = -4, b = 1.5, c = -8

Answer 1

The correct option is C

a = -4, b = 3, c = -8

$-2x+\frac{3}{2}y-4=0$
Multiplying LHS and RHS of the equation by 2
$2(-2x+\frac{3}{2}y-4)=2\left(0\right)$
$-4x+3y-8=0$
Comparing it with ax + by + c = 0, we get
a = -4, b = 3, c = -8