Graph the equation.
\[
y=-\frac{1}{2} x+3
\]
Use the graphing tool to graph the equation.

Answer

Expert–verified

Hide Steps

Answer

Finally, draw a straight line through the points to complete the graph of the equation \(y=-\frac{1}{2} x+3\).

Steps

Step 1 ：To graph the equation \(y=-\frac{1}{2} x+3\), we first need to identify the slope and the y-intercept.

Step 2 ：The slope of the line is -\frac{1}{2} and the y-intercept is 3.

Step 3 ：Start by plotting the y-intercept (0,3) on the graph.

Step 4 ：Then, from the y-intercept, move down 1 unit and to the right 2 units to plot the next point, because the slope is -\frac{1}{2}.

Step 5 ：Continue this process to plot several points.

Step 6 ：Finally, draw a straight line through the points to complete the graph of the equation \(y=-\frac{1}{2} x+3\).