What is the slope and the y -intercept of the equation 9+27/2x=−3/2y . Write the y -intercept as an ordered pair.
The slope is [ ]. The y-intercept is ([ ]).
To find the slope and y-intercept of the equation, first we need to put the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Start by isolating y in the given equation:
9 + (27/2)x = (-3/2)y
Multiply both sides of the equation by -2/3:
(-2/3)(9 + (27/2)x) = y
-6 - 9x = y
Now, the y-intercept is the point where the line intersects the y-axis. In slope-intercept form, it is represented as (0, b), where b is the y-intercept.
In this case, the y-intercept is -6. So the ordered pair for the y-intercept is (0, -6).
Therefore, the slope is -9 and the y-intercept is (0, -6).