Question

I need help graphing y= -x+7I already found the x interceptx intercept is- 7 i just need help graphing y and finding it.

Answer 1

Let's begin by identifying key information given to us:

`y=-x+7`

In order to graph this equation, we will assume values for the x-variable to obtain the output. This is shown below:

`\begin{gathered} y=-x+7 \\ x=-5 \\ y=-(-5)+7=5+7=12 \\ \Rightarrow(-5,12) \\ \\ x=-1 \\ y=-(-1)+7=1+7=8 \\ \Rightarrow(-1,8) \\ \\ x=2 \\ y=-2+7=5 \\ (2,5) \\ \\ x=4 \\ y=-4+7=3 \\ \Rightarrow(4,3) \\ \\ x=7 \\ y=-7+7=0 \\ \Rightarrow(7,0) \end{gathered}`

We will proceed to plot this on a graph as shown below: