Question

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

Answer 1

Answer:

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

$y=mx+8$

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;

$y=mx+8$