Question

Put the following equation of a line into slope-intercept form, simplifying all fractions. 9y−3x= −54

A) \(y = \frac{1}{3}x - 6\)

B) \(y = -3x + 6\)

C) \(y = 3x - 6\)

D) \(y = -\frac{1}{3}x + 6\)

Answer 1

To convert 9y - 3x = -54 into slope-intercept form, add 3x to both sides and then divide each term by 9 to isolate y, resulting in y = (1/3)x - 6, which is choice A.

Step-by-step explanation:

To put the equation 9y - 3x = -54 into slope-intercept form and simplify all fractions, you need to solve for y to get it into the form y = mx + b, where m is the slope and b is the y-intercept.

First, add 3x to both sides of the equation:

9y = 3x - 54

Next, divide every term by 9 to solve for y:

y = (1/3)x - 6

Therefore, the equation in slope-intercept form is y = (1/3)x - 6, which corresponds to choice A.