Final answer:
To graph the line y = 3 - ½x, find three points by choosing different x-values and solving for y. Example points are (0, 3), (2, 2), and (-2, 4). Plot these on a coordinate grid to draw the line.
Step-by-step explanation:
To graph the line y = 3 - ½x, we need to find at least three points that lie on this line. A convenient way to find points is to plug in different x-values into the equation and solve for y.
- Let's choose x = 0. Plugging this into the equation gives us y = 3 - ½(0) = 3. Therefore, one point is (0, 3).
- Next, let's choose x = 2. Plugging this in gives us y = 3 - ½(2) = 3 - 1 = 2. So, another point is (2, 2).
- Lastly, let's choose x = -2. Plugging this in gives us y = 3 - ½(-2) = 3 + 1 = 4. The third point is (-2, 4).
Now, you can plot these points on a coordinate grid and draw a line through them to represent the equation y = 3 - ½x.
Method 1: Constructing a Table of Values
This is the most straightforward method of graphing a line. What we need to do is to select some values of x and then evaluate those values in the given equation to get the corresponding values of y. Finally, plot those points in the XY-axis, and connect them with a straight edge.