Write Parametric equations of -3x+1/2y=2
y = 6 x + 4
through point (0,4)
slope = 6
well (0,4) + (1,6) t
should work
Oh, I see from your other questions you are not using vector notation
x = 0 + t = t
y = 4 + 6 t
To find the parametric equations for the given linear equation, we need to express both variables (x and y) in terms of a parameter (t), usually denoted as a variable such as "r" or "θ".
We can start by rearranging the given equation -3x + (1/2)y = 2 to solve for y in terms of x:
-3x + (1/2)y = 2
(1/2)y = 3x + 2
y = 6x + 4
Now, we can assign a parameter (t) to x, such that x = t. By substituting t for x in the equation above, we get:
y = 6t + 4
Therefore, the parametric equations for the given linear equation are:
x = t
y = 6t + 4
These equations represent all the points (x, y) on the line -3x + (1/2)y = 2. As the parameter t varies, the coordinates (x, y) will change accordingly, exploring the entire line.