Answer:
To graph the equation y = 1/2x - 4, we can use the slope-intercept form of a linear equation, which is y = mx + b, where m is the slope and b is the y-intercept.
In this equation, the slope is 1/2, and the y-intercept is -4. The slope represents the steepness of the line, and the y-intercept is the point at which the line crosses the y-axis.
To graph the equation:
Plot the y-intercept, which is (-0, -4)
Using the slope, we can pick a second point on the line. The slope of 1/2 tells us that for every 2 units in the x direction, we will move 1 unit in the y direction. So we can pick a point that is 2 units to the right of the y-intercept, such as (2,0).
Connect the two points to get a straight line
The resulting graph will be a straight line that passes through the point (-0, -4) and (2, 0) and continues in both directions.
Alternatively, you can use a table of values to plot the points that belongs to the line and connect them, for example:
x | y
-2 | -5
-1 | -4.5
0 | -4
1 | -3.5
2 | -3
These are few points on the graph and with more points you can connect them and see the shape of the graph.
Explanation: