Respuesta :

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

Answer:

Option B is correct

[tex]y = -\frac{3}{2}x+\frac{5}{2}[/tex]

Step-by-step explanation:

Slope-intercept form:

The equation of line is given by:

[tex]y=mx+b[/tex]

where,

m is the slope of the line

b is the y-intercept.

Given the equation of line:

[tex]3x+2y = 5[/tex]

Subtract 3x from both sides we have;

[tex]2y = -3x+5[/tex]

Divide both sides by 2 we get;

[tex]y = -\frac{3}{2}x+\frac{5}{2}[/tex]

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

[tex]y = -\frac{3}{2}x+\frac{5}{2}[/tex]