Question

For the equation 5x − 6y = 9, the 2x y-intercept is ______.

Options

• `3/2`

• `5/6`

• `6/5`

• `- 3/2`

Answer 1

For the equation 5x − 6y = 9, the 2x y-intercept is `bbunderline(- 3/2)`.

Explanation:

Rewriting the equation 5x − 6y = 9 in slope-intercept form (y = mx + c):

6y = 5x − 9

y = \[\frac{5}{6}x - \frac{9}{6}\]

y = \[\frac{5}{6}x - \frac{3}{2}\]

The y-intercept (c) is the constant term, which is \[-\frac{3}{2}\].