Question

Graph the following equation:y = - 1/4 x +6

Answer 1

The expression y = - 1/4 x +6​ is the equation of a line, when we want to plot a line we just need to find two points of it and then link them with the line segment.

First let's find the points, we can do this by replacing a value into x and calculating the corresponding value of y with the equation of the line, let's do it with x=0 and x=4, like this:

`\begin{gathered} y(0)=-(1)/(4)*(0)+6=0+6=6 \\ y(4)=-(1)/(4)*(4)+6=-(4)/(4)+6=-1+6=5 \end{gathered}`

Now that we know that the line goes through the points (0,6) and (4,5), let's graph it: