Question

Graph each equation.

$2y=1$

Short answer

The graph of the equation is:

Step-by-step solution

Step 1. State the concept of slope-intercept of an equation.

The slope-intercept form of a linear equation is $y=mx+b$, where $m$ is the slope and$b$ is the $y$-intercept.

Step 2. Write the equation of a line in slope-intercept form. 

Comparing the equation$2y=1$ with the slope-intercept form of the equation $y=mx+b$, the slope of the equation is zero. It implies that $m=0$, and $y$-intercept is $\left(0,\frac{1}{2}\right)$.

Step 3. Graph the equation.

To graph the equation, plot the $y$-intercept $\left(0,\frac{1}{2}\right)$. Since the slope is zero, draw a line through the points with $y$-coordinate $\frac{1}{2}$.