rewrite each linear function in the form y = mx + b:
3(2y-5)/4 = x - 1
Thank youuuu
6 y - 15 = 4 x - 4
6 y = 4 x +11
y = (2/3) x + (11/6)
To rewrite the linear function in the form y = mx + b, we need to isolate the y variable on one side of the equation.
Let's start by simplifying the given equation:
3(2y - 5)/4 = x - 1
First, distribute 3 to (2y - 5):
(6y - 15)/4 = x - 1
Next, let's eliminate the fraction by multiplying both sides of the equation by 4:
4 * (6y - 15)/4 = 4 * (x - 1)
This simplifies to:
6y - 15 = 4x - 4
Now, let's move the constant term (-15) to the other side by adding 15 to both sides:
6y - 15 + 15 = 4x - 4 + 15
This simplifies to:
6y = 4x + 11
Finally, divide both sides of the equation by 6 to isolate y:
6y/6 = (4x + 11)/6
This simplifies to:
y = (4/6)x + 11/6
Simplifying further, we get:
y = (2/3)x + 11/6
Therefore, the linear function is rewritten in the form y = mx + b as y = (2/3)x + 11/6.