Question

Rearrange 9x - 6y + 14 = 0 into slope-intercept form.

A. y = (3/2)x + 7/3
B. y = (-3/2)x - 7/3
C. y = (-3/2)x + 7/3
D. y = (3/2)x - 7/3

Answer 1

To convert the equation 9x - 6y + 14 = 0 to slope-intercept form, you subtract 9x from both sides, divide each term by -6 and simplify the fractions to obtain y = (3/2)x + (7/3), which corresponds to option C.

Step-by-step explanation:

To rearrange the equation 9x - 6y + 14 = 0 into the slope-intercept form, we need to solve for y to express the equation as y = mx + b, where m is the slope and b is the y-intercept.

1. Subtract 9x from both sides to get -6y = -9x - 14.
2. Divide each term by -6 to solve for y, so y = (9x/6) + (14/6).
3. Simplify the fractions to get y = (3/2)x + (7/3), which is in slope-intercept form.

Therefore, the equation y = (3/2)x + (7/3) matches option C.