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 ( ____ ).
The slope Isn't -18
The slope is -18. The y-intercept is (0, 13.5)
both is wrong
Let's rewrite the equation in slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept.
Given equation: 9 + 27/2x = −3/2y
Rearrange the equation to isolate y:
-3/2y = 9 + 27/2x
y = -2/3(9 + 27/2x)
y = -2(6 + 27x)/3
y = -2(6) - 2(27/2)x
y = -12 - 27x
Comparing this with y = mx + b, we can see that the slope (m) is -27 and the y-intercept (b) is -12.
Therefore, the slope is -27 and the y-intercept is (-12, 0).
both wrong
I apologize for the mistake. Let's try to find the correct slope and y-intercept.
Given equation: 9 + 27/2x = −3/2y
To write the equation in slope-intercept form (y = mx + b), we need to solve for y:
-3/2y = 9 + 27/2x
y = -2/3(9 + 27/2x)
y = -2(6 + 27x) / 3
y = -12 - 18x
So, the slope (m) is -18 and the y-intercept is where x = 0:
y = -12 - 18(0)
y = -12
Therefore, the slope is -18 and the y-intercept is (-12, 0).
The slope is not -18 or -27
I apologize for the confusion. Let's find the slope and y-intercept correctly.
The equation given is:
9 + 27/2x = −3/2y
Rearrange the equation to isolate y:
-3/2y = 9 + 27/2x
Multiply by -2/3 to solve for y:
y = - (9(-2/3) + 27x)
y = 6 + 27x
This equation is in the form of y = mx + b, where m is the slope and b is the y-intercept.
Therefore, the slope is 27 and the y-intercept, as an ordered pair, is (0, 6).
It's still wrong the y-intercept is (0, -6) what is the slope It's not 27 or -27 or -18
Let's analyze the equation again to determine the correct slope and y-intercept.
Given equation: 9 + 27/2x = −3/2y
Rearrange the equation to isolate y and simplify:
-3/2y = 9 + 27/2x
y = (9 + 27/2x) / -(3/2)
y = -2(9 + 27/2x)/3
y = - (18 + 27x)/3
y = -6 - 9x
Comparing this with y = mx + b, we can see that the slope (m) is -9 and the y-intercept (b) is -6.
Therefore, the slope is -9 and the y-intercept is (0, -6).