A equation in Slope-intercept form is of the form
[tex]y=mx+b[/tex]
where m is the slope and b is the y intercept.
Now, the given equation is [tex]\frac{y}{9}+ \frac{x}{3} =2[/tex]
Taking LCM on the left hand side of the equation, we get
⇒ [tex]\frac{3y+9x}{27} =2[/tex]
⇒ [tex]{3y+9x} =54[/tex]
⇒ [tex]{3y =54-9x[/tex]
Dividing both side of the equation by 3, we get
⇒ [tex]y= \frac{54-9x}{3}[/tex]
⇒ [tex]y=18-3x[/tex]
⇒ [tex]y=-3x+18[/tex]
∴ The equation [tex]y=-3x+18[/tex] is in Slope-intercept form.
In the equation the slope is -3 and the y-intercept is 18.
Know more about Slope-intercept form: - https://brainly.com/question/22057368
