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.
OA. The value of the slope is
OB. The slope is undefined
Select the correct choice below and, if necessary, fill in the answer box to complete your choice
O A. The y-intercept is(Type an ordered pair )
OB. There is no y-intercept

Answer 1

To rewrite the equation in slope-intercept form, we solve for y and isolate it on one side. The slope-intercept form of the equation is y = mx + b, where m is the slope and b is the y-intercept. In this case, the slope is 4 and the y-intercept is (0, -3).

Step-by-step explanation:

To rewrite the given equation in slope-intercept form, we need to solve for y and isolate it on one side of the equation. Starting with 12x - 3y = 9:

1. Subtract 12x from both sides: -3y = -12x + 9
2. Divide every term by -3 to solve for y: y = 4x - 3

So, the slope-intercept form of the equation is y = 4x - 3. From this, we can determine that the slope is 4 and the y-intercept is (0, -3).

Learn more about Slope-intercept form of an equation