What is the slope and the y-intercept of the equation 9 + 27/2 x = -3/2 y. Write the y-intercept as an ordered pair.
The slope is (blank) And the y-intercept is (blank)
To find the slope-intercept form of the equation 9 + 27/2 x = -3/2 y, we need to isolate the y variable.
Step 1: Simplify the equation by multiplying both sides by -2/3:
(9 + 27/2 x) * (-2/3) = (-3/2 y) * (-2/3)
-6 - 18x/3 = y
-6 - 6x = y
So, the equation in slope-intercept form is y = -6 - 6x.
Now we can determine the slope and the y-intercept.
The slope-intercept form of an equation is y = mx + b, where m represents the slope and b represents the y-intercept.
Comparing this with the equation y = -6 - 6x, we can see that the slope (m) is -6 and the y-intercept (b) is -6.
Therefore, the slope is -6 and the y-intercept is (-6, 0), as an ordered pair.
To find the slope and the y-intercept of the equation 9 + 27/2 x = -3/2 y, we need to rewrite the equation in slope-intercept form, which is in the form: y = mx + b, where m represents the slope and b represents the y-intercept.
Given equation: 9 + 27/2 x = -3/2 y
First, let's isolate y by dividing both sides of the equation by -3/2:
(9 + 27/2 x) / (-3/2) = y
Simplifying the right side:
y = -2(9 + 27/2 x) / 3
y = -2(9) / 3 - 2(27/6) x
y = -18 - 9x
Now that we have the equation in slope-intercept form, we can identify the slope and the y-intercept.
The coefficient of x gives us the slope, so the slope (m) is -9.
The constant term (-18) gives us the y-intercept, which is the point where the line intersects the y-axis. In this case, the y-intercept is -18. Therefore, the y-intercept can be written as the ordered pair (0, -18), where the x-coordinate is 0 and the y-coordinate is -18.
Thus, the slope is -9 and the y-intercept is (0, -18).
no
Apologies for the incorrect response. Let's find the slope and the y-intercept correctly.
Given equation: 9 + 27/2 x = -3/2 y
First, let's isolate y by multiplying both sides of the equation by -2/3:
(-2/3)(9 + 27/2 x) = (-2/3)(-3/2 y)
-18/3 - (27/2)(2/3) x = (3/2) y
-6 - (9/2) x = (3/2) y
Now, divide both sides of the equation by (3/2) to solve for y:
-6 - (9/2) x = (3/2)y
y = (-6 - (9/2) x) / (3/2)
y = -4 - (3/2)x
Comparing this with y = mx + b form, we can see that the slope (m) is -3/2 and the y-intercept (b) is -4.
Therefore, the slope is -3/2 and the y-intercept is (-4, 0).
To find the slope and the y-intercept, we need to 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 + 27/2 x = -3/2 y
First, let's isolate y by multiplying both sides of the equation by -2/3:
-2/3 (9 + 27/2 x) = -2/3 (-3/2 y)
(-2/3)(9) + (-2/3)(27/2) x = (3/2) y
-6 + (-9) x = (3/2) y
-6 - 9x = (3/2) y
Now, divide both sides of the equation by (3/2) to solve for y:
-6 - 9x = (3/2) y
y = (-6 - 9x) / (3/2)
y = -6/(3/2) - 9x/(3/2)
y = -4 - 6x
Comparing this with y = mx + b form, we can see that the slope (m) is -6 and the y-intercept (b) is -4.
Therefore, the slope is -6 and the y-intercept is (-4,0).