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:
[tex]\begin{gathered} \frac{21y}{21}=\frac{21}{21}-\frac{3x}{21} \\ \\ y\text{ = 1 - }\frac{1}{7}x \end{gathered}[/tex]In slope intercept form, we have:
[tex]y\text{ = -}\frac{1}{7}x+1[/tex]ANSWER:
[tex]y=-\frac{1}{7}x+1[/tex]