graph the line with the equation y = -\\frac{1}{2}x + 3.

Explanation:

Step1: Find the y - intercept

The equation is in slope - intercept form $y=mx + b$, where $b$ is the y - intercept. Here $b = 3$, so the line crosses the y - axis at the point $(0,3)$.

Step2: Find the x - intercept

Set $y = 0$. Then $0=-\frac{1}{2}x + 3$. Solve for $x$: [ \begin{align*} \frac{1}{2}x&=3\ x&=6 \end{align*} ] So the line crosses the x - axis at the point $(6,0)$.

Step3: Plot the points and draw the line

Plot the points $(0,3)$ and $(6,0)$ on the coordinate plane and draw a straight line passing through them.

Answer:

Plot the points $(0,3)$ and $(6,0)$ and draw a straight - line through them to graph $y =-\frac{1}{2}x + 3$.