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Question

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

Answer 1

To transform the linear equation −2y = 14 − 6x to slope-intercept form (y = mx + b), we need to isolate the y variable.

First, let's rearrange the equation by adding 6x to both sides:

-2y + 6x = 14

Next, divide the entire equation by -2 to isolate y:

(-2y + 6x)/-2 = 14/-2

Simplifying this expression:

y - 3x = -7

Finally, we can rewrite the equation in slope-intercept form:

y = 3x - 7

Answer 2

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Answer 3

Sure!
To transform the linear equation -2y = 14 - 6x to slope-intercept form (y = mx + b), we need to rearrange the equation to isolate the y variable.

Step 1: Add 6x to both sides: -2y + 6x = 14
Step 2: Divide the entire equation by -2: (y - 3x)/-2 = -7
Step 3: Simplify the equation: y - 3x = -7
Step 4: Rewrite the equation in slope-intercept form: y = 3x - 7

So, the slope-intercept form for the given equation is y = 3x - 7.