Question

A) graph the Equationx=-2.5y+10

Answer 1

Explanation:

We have the following equation:

`x=-2.5y+10`

The first thing we must do to graph is solve for and, just like this:

`\begin{gathered} x-10=-2.5y \\ y=(x)/(-2.5)-(10)/(-2.5) \\ y=-(2)/(5)x+4 \end{gathered}`

To graph, we must give values to x, to calculate the value of y, like this:

`\begin{gathered} y(-15)=-(2)/(5)\cdot(-15)+4=10 \\ y(-10)=-(2)/(5)\cdot(-10)+4=8 \\ y(-5)=-(2)/(5)\cdot(-5)+4=6 \\ y(0)=-(2)/(5)\cdot(0)+4=4 \\ y(5)=-(2)/(5)\cdot(5)+4=2 \\ y(10)=-(2)/(5)\cdot(10)+4=0 \\ y(15)=-(2)/(5)\cdot(15)+4=-2 \end{gathered}`

Then we draw a line connecting the points and we have the graph of the equation, like this: