What is the slope and the y-intercept of the equation 9 + 27/2 x=−3/2 y.

Answer 1

To find the slope and y-intercept of the equation, we need to rewrite it in slope-intercept form, which is y = mx + b.

Starting with the given equation:
9 + 27/2 x = -3/2 y

First, let's isolate y by multiplying both sides of the equation by -2/3:
(-2/3)(9 + 27/2 x) = -2/3(-3/2) y
-6 - 18x/3 = 9/2 y
-6 - 6x = 9/2 y

Next, divide both sides of the equation by 9/2:
(-6 - 6x) / (9/2) = (9/2 y) / (9/2)
(-6/1 - 6x/1) * (2/9) = y
-12/9 - 12x/9 = y
-4/3 - 4x/3 = y

Now we have the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.

Comparing the equation -4/3 - 4x/3 = y to y = mx + b, we can see that the slope, m, is -4/3 and the y-intercept, b, is -4/3.

Answer 2

Write the y-intercept as an ordered pair

Answer 3

The y-intercept of the equation is -4/3. In ordered pair form, it can be written as (0, -4/3).