Answer
Graph of $5x+2y=10$
Work Step by Step
To find points on the given equation, $
5x+2y=10
$, substitute values of $x$ and solve for the corresponding value of $y$. That is,
\begin{array}{l|r}\require{cancel}
\text{If }x=0: & \text{If }x=2:
\\\\
5(0)+2y=10 & 5(2)+2y=10
\\
0+2y=10 & 10+2y=10
\\
2y=10 & 2y=10-10
\\
\dfrac{\cancel2y}{\cancel2}=\dfrac{10}{2} & 2y=0
\\
y=5 & \dfrac{\cancel2y}{\cancel2}=\dfrac{0}{2}
\\
& y=0
.\end{array}
Thus, the points $
(0,5)
$ and $
(2,0)
$ are points on the line determined by the equation $
5x+2y=10
$.
