What is the slope in the Y intercept of the equation 9+27/2x=-3/2 write the Y intercept as an ordered pair
To find the slope and y-intercept of the equation 9 + 27/2x = -3/2, we need to rewrite it in the standard form y = mx + b, where m is the slope and b is the y-intercept.
First, let's rewrite the equation as y = mx + b:
9 + 27/2x = -3/2
27/2x = -3/2 - 9
27/2x = -15/2
x = -15/2 * 2/27
x = -30/54
x = -5/9
Now that we have found the x-coordinate of the y-intercept, let's substitute it back into the original equation to find the y-coordinate:
9 + 27/2 * (-5/9) = -3/2
9 - 15/2 = -3/2
18/2 - 15/2 = -3/2
3/2 = -3/2
Since the y-coordinate does not match, there seems to be a mistake in the calculation. Let's try again.
The y-intercept can be found by setting x = 0 in the equation and solving for y:
9 + 27/2(0) = -3/2
9 = -3/2
This equation is not true, so there seems to be a mistake in the initial equation. Let's correct it and find the real y-intercept.
Given equation: 9 + 27/2x = -3/2
Subtracting 9 from both sides:
27/2x = -3/2 - 9
27x/2 = -21/2
27x = -42
x = -42/27
x = -14/9
Now we can substitute x = 0 to find the y-intercept:
9 + 27/2*0 = y
y = 9
Therefore, the y-intercept is (0, 9). The slope is not computed because the given equation is incorrect.