Question

Rewrite the following equation in slope-intercept form and determine the slope and y-intercept

12x-3y=9
The slope-intercept form of the given equation is y=
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The value of the slope is
B. The slope is undefined.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice
OA. The y-intercept is
(Type an ordered pair.)
B. There is no y-intercept.

Answer 1

To rewrite the equation in slope-intercept form and determine the slope and y-intercept, subtract 12x from both sides of the equation, then divide both sides by -3. The slope is 4 and the y-intercept is (0, -3).

Step-by-step explanation:

To rewrite the equation 12x - 3y = 9 in slope-intercept form, we need to isolate the variable y. First, subtract 12x from both sides of the equation to get -3y = -12x + 9. Then, divide both sides by -3 to obtain y = 4x - 3. Therefore, the slope-intercept form of the equation is y = 4x - 3. The slope of the equation is the coefficient of x, which is 4, while the y-intercept is the constant term, which is (0, -3).

Learn more about slope-intercept form of an equation