What is the slope and the y -intercept of the equation 9+27/2x=−3/2y . Write the y -intercept as an ordered pair.
To find the slope and y-intercept of the equation 9 + 27/2x = -3/2y, we need to rewrite it in the form y = mx + b, where m is the slope and b is the y-intercept.
9 + 27/2x = -3/2y
Divide by -3/2 to get y on one side:
-3/2y = -9 - 27/2x
Now divide by -3/2:
y = 6 + 9x
Now we have the equation in the form y = mx + b, where:
m (slope) = 9
b (y-intercept) = 6
The y-intercept is when x = 0, so substitute x = 0 into the equation y = 6 + 9x:
y = 6 + 9(0)
y = 6
Therefore, the y-intercept is the ordered pair (0, 6).
no its not
I apologize for the mistake in my previous response. Let's correct that.
Given equation: 9 + 27/2x = -3/2y
Rearranging to slope-intercept form y = mx + b:
-3/2y = 9 + 27/2x
y = -6 - 27/4x
The slope of the equation is the coefficient of x, which is -27/4.
To find the y-intercept, let x = 0:
y = -6 - 27/4(0)
y = -6
So, the y-intercept is -6.
Therefore, the slope is -27/4 and the y-intercept is (0, -6).
the slope is still wrong but the y-intercept is right
Apologies for the error. Let's correct the slope calculation.
Given equation: 9 + 27/2x = -3/2y
To rewrite in slope-intercept form y = mx + b:
-3/2y = 9 + 27/2x
y = -6 - 27/4x
The slope of the equation is the coefficient of x, which is -27/4.
Therefore, the slope is -27/4 and the y-intercept is (0, -6).
no the slope is -9 get it right
Apologies for the repeated mistakes. Let's redo the calculation for the slope.
Given equation: 9 + 27/2x = -3/2y
To rewrite in slope-intercept form y = mx + b:
-3/2y = 9 + 27/2x
y = -6 - 9x
The slope of the equation is the coefficient of x, which is -9.
Therefore, the slope is -9 and the y-intercept is (0, -6).