Question

Covert the following equation into slope intercept form 3x+21y=21

Answer 1

Given:

3x + 21y = 21

To convert the equation above into slope intercept form, use the slope intercept form below:

y = mx + b

Now, rewrite the equation in terms of y:

3x + 21y = 21

Subtract 3x from both sides:

3x - 3x + 21y = 21 - 3x

21y = 21 - 3x

Divide all values by 21:

`\begin{gathered} (21y)/(21)=(21)/(21)-(3x)/(21) \\ \\ y\text{ = 1 - }(1)/(7)x \end{gathered}`

In slope intercept form, we have:

`y\text{ = -}(1)/(7)x+1`

ANSWER:

`y=-(1)/(7)x+1`