Question

choose the slope-intercept form of (3x + 2y = 5)

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

Explanation:

Isolate the term containing y

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

Solve for y by dividing by 2

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

Answer:

• (A) \(y = \frac{3}{2}x - \frac{5}{2}\)
• (B) \(y = -\frac{3}{2}x + \frac{5}{2}\) (Correct answer)
• (C) \(y = -\frac{2}{3}x + \frac{5}{3}\)
• (D) \(y = \frac{2}{3}x - \frac{5}{3}\)