Question

Determine whether point (4,3) lies on the line with equation y = 1/4 x + 3 by using substitution and by graphing.

Answer 1

A. By substituting the given point.

In this case y=4 and x=3, so we have

$\begin{gathered} 3=\frac{1}{4}(4)+3 \\ 3=\frac{4}{4}+3 \\ 3=1+3 \\ 3=4\text{ !!!} \end{gathered}$

which is an absurd. This imply that this point doesnt belong to the line.

Now, we will make the graph:

where we can see that this point is not into the line