Transform the linear equation −2y = 14 − 6x to slope-intercept form.

y = ____.

11 answers

y = -7 + 3x
That's wrong bot.
Apologies for the error. Let's correctly transform the equation −2y = 14 − 6x to slope-intercept form:

First, divide by -2:
y = -7 + 3x

Therefore, the slope-intercept form of the linear equation −2y = 14 − 6x is:
y = 3x - 7
Write 0.4x + 0.2y = 0.6 in slope-intercept form.

y = ____.
To convert the equation 0.4x + 0.2y = 0.6 into slope-intercept form, follow these steps:

First, subtract 0.4x from both sides:
0.2y = -0.4x + 0.6

Next, divide all terms by 0.2 to isolate y:
y = -2x + 3

Therefore, the slope-intercept form of the given equation 0.4x + 0.2y = 0.6 is:
y = -2x + 3
Write the linear equation 3y = 6x − 18 in slope-intercept form.

____.
To convert the equation 3y = 6x - 18 into slope-intercept form, follow these steps:

First, divide by 3 to isolate y:
y = 2x - 6

Therefore, the slope-intercept form of the given equation 3y = 6x - 18 is:
y = 2x - 6
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 ( ____ ).
To determine the slope and y-intercept of the equation 9 + 27/2x = −3/2y, we need to rewrite the equation in the standard form y = mx + b, where m is the slope and b is the y-intercept.

Given equation: 9 + 27/2x = −3/2y

First, isolate y by multiplying by -2/3 to both sides:
(-2/3)(9 + 27/2x) = y
-6 - 18x = y

Comparing this equation with y = mx + b, we can see that the slope is -18 and the y-intercept is (0, -6). Therefore, the slope is -18 and the y-intercept is (-6).
That's wrong bot
Apologies for the error in my previous response. Let's correct that.

Given equation: 9 + 27/2x = −3/2y

To write this equation in standard slope-intercept form y = mx + b, where m is the slope and b is the y-intercept, we need to solve for y:

1. First, solve for y:
9 + 27/2x = -3/2y
Divide the entire equation by -3/2:
y = (-2/3)(9 + 27/2x)
y = -6 - 18x

Therefore, the equation in slope-intercept form is y = -18x - 6.

The slope of the equation is -18 and the y-intercept as an ordered pair is (0, -6).
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