Question

Write the equation for the family of lines with the following characterizing property (i) having y-intercept 8

Answer 1

The equation for the family of lines having y-intercept 8​ is;

`y=mx+8`

Step-by-step explanation:

We want to write the equation for the family of lines having y-intercept 8​;

Given that y-intercept = 8

`b=8`

Recall that the slope intercept form of linear equation can be written in the form;

`\begin{gathered} y=mx+b \\ \text{where;} \\ m=\text{slope} \\ b=y-\text{intercept} \end{gathered}`

substituting the given y-intercept.

`y=mx+8`

Therefore, the equation for the family of lines having y-intercept 8​ is;

`y=mx+8`