Question

Convert to Slope-intercept form4x+2y=12

Answer 1

Given the following system of equation:

4x + 2y = 12

For it to be in a standard slope-intercept form, the equation must be similar to this one:

`\text{ y = mx + b}`

We get,

`\begin{gathered} \text{ 4x + 2y = 12} \\ \text{ 4x + 2y - 4x = 12 - 4y} \\ \text{ 2y = -4x + 12} \\ \text{ }(2y)/(2)\text{ = }\frac{\text{-4x + 12}}{2} \\ \text{ y = -2x + 6} \end{gathered}`

Therefore, the slope-intercept form of 4x + 2y = 12 is y = -2x + 6.