What is the slope and the y -intercept of the equation 9+27/2 x=−3/2y . Write the y -intercept as an ordered pair.(1 point)
The slope is ___
. The y-intercept is (___).
To find the slope and the y-intercept of the given equation, we need to rewrite it in the form y = mx + b, where m is the slope and b is the y-intercept.
So, let's rewrite the equation:
9 + 27/2 x = -3/2y
Multiplying both sides of the equation by -2/3, we get:
-2/3(9 + 27/2 x) = -2/3(-3/2y)
Simplifying both sides of the equation, we have:
-6 - 18x = 9/2y
Now, divide both sides of the equation by 9/2 (or multiply by 2/9):
-6 - 18x = (9/2y)(2/9)
Simplifying the right side of the equation, we get:
-6 - 18x = y
Rearranging the equation, we have:
y = -18x - 6
Comparing this equation with y = mx + b, we can see that the slope (m) is -18 and the y-intercept (b) is -6.
Therefore, the slope is -18 and the y-intercept is (-6, 0).