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-intercept form of the equation, we need to solve for y:
9 + 27/2x = -3/2y
27/2x = -3/2y - 9
27/2x = -3/2(y + 6)
27/2x = -3/2(y + 6)
-2/3 * 27/2 x = -y - 6
-27x = -3y - 18
y = 9x + 6
Comparing the equation to y = mx + b, where m is the slope and b is the y-intercept, we find:
Slope: 9
Y-intercept: 6
The y-intercept as an ordered pair is (0, 6).