Question

Convert the standard form equation to slope- intercept form. 6x+2y=-14

Answer 1

y = -3x - 7

Step-by-step explanation:

To convert the standard form equation to the slope-intercept form, we need to isolate the y. So, subtracting 6x from both sides, we get:

6x + 2y - 6x = -14 - 6x

2y = -14 - 6x

Finally, dividing by 2, we get:

`\begin{gathered} (2y)/(2)=(-14-6x)/(2) \\ y=-7-3x \end{gathered}`

So, organizing the terms, we get that the slope-intercept form is:

`y=-3x-7`

Where -3 is the slope and -7 is the intercept.