What is the slope and the y intercept of the equation 9+27/2x=-3/2y. Write the y-intercept as an ordered pair

5 answers

To find the slope and y-intercept of the equation, we need to rewrite it in the slope-intercept form, which is y = mx + b.

Given equation: 9 + 27/2x = -3/2y
First, isolate y by dividing by -3/2 on both sides:
-3/2y = 9 + 27/2x
y = -2/3(9 + 27/2x)
y = -6 - 27x

Now, the slope is the coefficient of x, which is -27, and the y-intercept is the constant term, which is -6. The y-intercept is (-6, 0).

So, the slope is -27 and the y-intercept is (-6, 0).
Wrong
Let's rewrite the given equation in the standard slope-intercept form y = mx + b:

9 + (27/2)x = (-3/2)y

First, isolate y by dividing by -3/2 on both sides:
y = -2(9 + (27/2)x)
y = -18 - 27x

Now, the slope is the coefficient of x, which is -27, and the y-intercept is the constant term, which is -18.

Therefore, the slope is -27 and the y-intercept is -18.

The y-intercept as an ordered pair is (0, -18).
What is the slope and y-intercept of 9 + 27 over 2X = -3 over 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 standard slope-intercept form, which is y = mx + b.

Given equation: 9 + 27/2x = -3/2y

First, isolate y by dividing by -3/2 on both sides:
-3/2y = 9 + 27/2x
y = -2/3 * (9 + 27/2x)
y = -6 - 27x/2
y = -27x/2 - 6

Now that the equation is in the form y = mx + b, we can identify the slope (m) and the y-intercept (b).

The slope (m) is the coefficient of x, which is -27/2.

The y-intercept (b) is the constant term, which is -6.

Therefore, the slope is -27/2 and the y-intercept is -6.

The y-intercept as an ordered pair is (0, -6).