Verified Answer :

3x + 2y = 5
2y = 5 - 3x
y = -3/2 x + 5/2

Answer:

Option B is correct

\(y = -\frac{3}{2}x+\frac{5}{2}\)

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

\(y=mx+b\)

where,

m is the slope of the line

b is the y-intercept.

Given the equation of line:

\(3x+2y = 5\)

Subtract 3x from both sides we have;

\(2y = -3x+5\)

Divide both sides by 2 we get;

\(y = -\frac{3}{2}x+\frac{5}{2}\)

Therefore, the given equation of line in the form of slope-intercept form is:

\(y = -\frac{3}{2}x+\frac{5}{2}\)