Question

Graph the line. y= -⅕x + 3

Answer 1

We have to graph the line:

`y=-(1)/(5)x+3`

For doing so, we will find the coordinates of two points that pass through the line and then we will trace the line joining those two.

First, we choose two x-values and we find the corresponding y-values. We will choose x=0 and x=5. Thus:

For x=0

`\begin{gathered} y=-(1)/(5)(0)+3=0+3=3 \\ y=3 \end{gathered}`

For x=5

`\begin{gathered} y=-(1)/(5)(5)+3=-1+3=2 \\ y=2 \end{gathered}`

This means that:

`\begin{gathered} \text{For x=0, y=3 and the point is: }(0,3) \\ \text{For x=5, y=2 and the point is: }(5,2) \end{gathered}`

We put the points on a cartesian plane, and joining the points we have that the graph of the line will be: