Respuesta :
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]