Answer :
ANSWER:
STEP-BY-STEP EXPLANATION:
We have the following equation:
[tex]x=-2.5y+10[/tex]The first thing we must do to graph is solve for and, just like this:
[tex]\begin{gathered} x-10=-2.5y \\ y=\frac{x}{-2.5}-\frac{10}{-2.5} \\ y=-\frac{2}{5}x+4 \end{gathered}[/tex]To graph, we must give values to x, to calculate the value of y, like this:
[tex]\begin{gathered} y(-15)=-\frac{2}{5}\cdot(-15)+4=10 \\ y(-10)=-\frac{2}{5}\cdot(-10)+4=8 \\ y(-5)=-\frac{2}{5}\cdot(-5)+4=6 \\ y(0)=-\frac{2}{5}\cdot(0)+4=4 \\ y(5)=-\frac{2}{5}\cdot(5)+4=2 \\ y(10)=-\frac{2}{5}\cdot(10)+4=0 \\ y(15)=-\frac{2}{5}\cdot(15)+4=-2 \end{gathered}[/tex]Then we draw a line connecting the points and we have the graph of the equation, like this:
