What is the slope and the y -intercept of the equation 9 + 27/2x = −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 equation 9 + 27/2x = −3/2y, we need to rewrite the equation in slope-intercept form, y = mx + b.
First, let's isolate y:
9 + 27/2x = -3/2y
Multiply both sides of the equation by -2/3:
-2/3(9 + 27/2x) = -2/3(-3/2y)
-6 - 18x/2 = y
Simplifying:
-6 - 9x = y
So, the equation can be written as y = -9x - 6.
The slope of this equation is -9.
To find the y-intercept, we set x = 0:
y = -9(0) - 6
y = -6
So, the y-intercept is (0, -6).