Graph 2x+y=1 and 2y+4x=2

$2 x + y = 1$ and $2 y + 4 x = 2$

Step 1

Graph $2 x + y = 1$ .

Subtract $2 x$ from both sides of the equation.

$y = 1 - 2 x$

Rewrite in slope-intercept form.

The slope-intercept form is $y = m x + b$ , where $m$ is the slope and $b$ is the y-intercept.

$y = m x + b$

Reorder $1$ and $- 2 x$ .

$y = - 2 x + 1$

Use the slope-intercept form to find the slope and y-intercept.

Find the values of $m$ and $b$ using the form $y = m x + b$ .

$m = - 2$

$b = 1$

The slope of the line is the value of $m$ , and the y-intercept is the value of $b$ .

Slope: $- 2$

y-intercept: $(0, 1)$

Slope: $- 2$

y-intercept: $(0, 1)$

Any line can be graphed using two points. Select two $x$ values, and plug them into the equation to find the corresponding $y$ values.

Reorder $1$ and $- 2 x$ .

$y = - 2 x + 1$

Create a table of the $x$ and $y$ values.

$\begin{array}{c} x & y \\ 0 & 1 \\ 1 & - 1 \end{array}$

Graph the line using the slope and the y-intercept, or the points.

Slope: $- 2$

y-intercept: $(0, 1)$

$\begin{array}{c} x & y \\ 0 & 1 \\ 1 & - 1 \end{array}$

Slope: $- 2$

y-intercept: $(0, 1)$

$\begin{array}{c} x & y \\ 0 & 1 \\ 1 & - 1 \end{array}$

Step 2

Plot each graph on the same coordinate system.

$2 x + y = 1$

$2 y + 4 x = 2$

Step 3