What is the slope and the y -intercept of the equation 9+27/2x=−32y . Write the y -intercept as an ordered pair.(1 point)

Answer 1

To determine the slope and y-intercept of the equation 9 + 27/2x = -32y, we can rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

First, let's isolate y on one side of the equation:
9 + 27/2x = -32y

To isolate -y, divide both sides of the equation by -32:
(9 + 27/2x)/-32 = y
-(9 + 27/2x)/32 = y
-9/32 - 27/64x = y

So, the equation in slope-intercept form is y = -27/64x - 9/32.

Comparing this equation to y = mx + b, we can see that the slope (m) is -27/64, and the y-intercept (b) is -9/32.

To write the y-intercept as an ordered pair, we substitute x = 0 into the equation:
y = -27/64(0) - 9/32
y = -9/32

Therefore, the y-intercept is (0, -9/32).

Answer 2

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

Answer 3

To determine the slope and y-intercept of the equation 9 + 27/2x = -3/2y, we need to rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.

First, let's isolate y on one side of the equation:
9 + 27/2x = -3/2y

To isolate y, divide both sides of the equation by -3/2:
(9 + 27/2x) / (-3/2) = y
(9 + 27/2x) * (-2/3) = y

Simplifying the expression on the right side:
y = -2(9 + 27/2x) / 3
y = (-18 - 54/2x) / 3
y = (-18 - 27x) / 3
y = -6 - 9x

So, the equation in slope-intercept form is y = -9x - 6.

Comparing this equation to y = mx + b, we can see that the slope (m) is -9, and the y-intercept (b) is -6.

To write the y-intercept as an ordered pair, we substitute x = 0 into the equation:
y = -9(0) - 6
y = -6

Therefore, the y-intercept is (0, -6).

Answer 4

The slope is _____ and the y-intersept is _____