Question

Let f be the name of the function. The slope-intercept form of the equation written in function notation is?

Answer 1

Given x-intercept as 6 => a = 6

and y-intercept as -2 => b = -2

the equation is;

`\begin{gathered} (x)/(a)+(y)/(b)=1 \\ \\ \text{ where a is the x intercept and b is the y intercept} \end{gathered}`

`\begin{gathered} \Rightarrow(x)/(6)-(y)/(2)=1 \\ \\ \Rightarrow(x)/(6)-(3y)/(6)=1 \\ \\ \Rightarrow(x-3y)/(6)=1 \\ \\ \Rightarrow x-3y=6 \\ \\ \Rightarrow x=6+3y \\ \\ \Rightarrow3y=x-6 \\ \\ \Rightarrow y=(x)/(3)-(6)/(3) \\ \\ \Rightarrow y=(x)/(3)-2 \end{gathered}`

The answer is:

`y=(x)/(3)-2`