write the parametric equations of -3x+1/2y=2/3.
please help me!!!
To find the parametric equations of the given equation, we need to express the variables, x and y, in terms of a parameter. In this case, let's use the parameter t.
Step 1: Solve the given equation for y:
-3x + (1/2)y = 2/3
(1/2)y = 3x + 2/3
y = 6x + 4/3 [Multiply both sides by 2 to eliminate the fraction]
Step 2: Express x and y in terms of t:
Since we want to express x and y as parametric equations, we can assign variables to them. Let:
x = t
y = 6t + 4/3
Thus, the parametric equations for the given equation -3x + (1/2)y = 2/3 are:
x = t
y = 6t + 4/3