Answer
Graph of $2x-4y=10$.
Work Step by Step
To graph the given equation, substitute values of $x$ and then solve for $y$.
Choosing and substituting $x=1$, the value of $y$ in the given equation is
$$\begin{aligned}
2x-4y&=10
\\
2(1)-4y&=10
\\
2-4y&=10
\\
-4y&=10-2
\\
-4y&=8
\\
y&=\frac{8}{-4}
\\
y&=-2
.\end{aligned}
$$Hence, $(1,-2)$ is a point on the line defined by the given equation.
Choosing and substituting $x=5$, the value of $y$ in the given equation is
$$\begin{aligned}
2x-4y&=10
\\
2(5)-4y&=10
\\
10-4y&=10
\\
-4y&=10-10
\\
-4y&=0
\\
y&=\frac{0}{-4}
\\
y&=0
.\end{aligned}
$$Hence, $(5,0)$ is a point on the line defined by the given equation.
Connecting the points $
(1,-2)
$ and $
(5,0)
$ gives the graph of the given equation.
