Question

(3x+1)/(2)-2y=4-y cept form. Simplify your answer.

Answer 1

The original equation, (3x+1)/(2)-2y=4-y, can be simplified and rearranged into the slope-intercept form y=(3/2)x-7/2, where (3/2) is the slope and (-7/2) is the y-intercept.

Step-by-step explanation:

The question seems to be related to simplifying algebraic expressions or rearranging them into a particular form such as slope-intercept form of a linear equation, y=mx+b, where m is the slope and b is the y-intercept. If we are looking at an equation like (3x+1)/(2)-2y=4-y, we aim to simplify and solve for y to get it into slope-intercept form.

Here's how we can simplify the given equation step-by-step:

1. Add 2y to both sides to start bringing all y terms to one side: (3x+1)/2 = 4-y+2y.
2. Simplify the right side to combine like terms: (3x+1)/2 = 4+y.
3. Subtract 4 from both sides: (3x+1)/2 - 4 = y.
4. To completely solve for y, we can multiply out the 2 to get rid of the denominator and then move the constant term to the right side: y = (3/2)x - 7/2.

This gives us the equation in slope-intercept form, showing the slope and y-intercept clearly.