What is the slope and the y -intercept of the equation 9+272x=−32y . Write the y -intercept as an ordered pair.(1 point) The slope is . The y-intercept is ().

5 answers

To find the slope and y-intercept, we need to rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

Given equation: 9 + 272x = -32y

First, we need to isolate the y variable.

-32y = 9 + 272x

Now, we divide both sides of the equation by -32 to solve for y:

y = (9 + 272x) / -32

Simplifying further:

y = -9/32 - 17x/4

The slope (m) is the coefficient of x, which is -17/4.

The y-intercept (b) is the constant term, which is -9/32.

Therefore, the slope is -17/4 and the y-intercept is (-9/32, 0).
wrong
I apologize for the incorrect response. Let's find the correct slope and y-intercept.

Given equation: 9 + 272x = -32y

We need to isolate the y variable. First, let's subtract 9 from both sides:

272x = -32y - 9

Now, divide both sides by -32 to solve for y:

y = (272/(-32))x + (9/(-32))

Simplifying further:

y = -17/2x - 9/32

The slope (m) is the coefficient of x, which is -17/2.

The y-intercept (b) is the constant term, which is -9/32.

Therefore, the slope is -17/2 and the y-intercept is (0, -9/32).
9+27/2x=−3/2y .
To find the slope and y-intercept, we need to rewrite the equation in slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.

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

First, we need to isolate the y variable.

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

Now, divide both sides of the equation by -3/2 to solve for y:

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

Simplifying further:

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

y = -18 - 27/2x

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

The y-intercept (b) is the constant term, which is -18.

Therefore, the slope is -27/2 and the y-intercept is (0, -18).
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