What is the slope and the y-intercept of the equation 9 + 27/2 * x = - 3/2 * y Write the y-intercept as an ordered pair.
The slope is___The y-intercept is___
To find the slope-intercept form of the equation, we need to solve for y.
First, subtract 9 from both sides of the equation:
27/2 * x = -3/2 * y - 9
Next, divide both sides by -3/2:
(27/2 * x) / (-3/2) = (-3/2 * y - 9) / (-3/2)
This simplifies to:
-9x = 9y + 27
Next, divide both sides by 9:
-9x/9 = (9y + 27)/9
This simplifies to:
-x = y + 3
Finally, rearrange the equation to the slope-intercept form (y = mx + b):
y = -x - 3
From this form, we can determine that the slope is -1 and the y-intercept is -3.
So the slope is -1 and the y-intercept is (-3, 0).