Which equations are already in y=mx+b form? [Hint you will be using these same 6 equations for the entire portfolio.- so go ahead and change all equations to the correct form.]

Question

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Answer 1

To determine which equations are already in the slope-intercept form \(y = mx + b\), we need to recognize the components of this form:

• \(y\) is the dependent variable.
• \(m\) is the slope of the line.
• \(x\) is the independent variable.
• \(b\) is the y-intercept.

An equation is in the \(y = mx + b\) form if it is expressed where \(y\) is isolated on one side of the equation.

Since I don't have access to images and can't see any equations, I'm unable to provide specific assistance on your equations. However, you can check each equation by following these steps:

1. Rearrange the equation so that all terms involving \(y\) are on one side.
2. Move any constant terms or terms involving \(x\) to the other side of the equation.
3. Ensure that \(y\) is isolated on the left side with the equation in the format of \(y = mx + b\).

For example:

• Given the equation \(2x + 3y = 6\):
  • Rearranging gives \(3y = -2x + 6\)
  • Then divide by 3 yields \(y = -\frac{2}{3}x + 2\), which is in \(y = mx + b\) form.

If you provide the equations, I can help convert them into this form!