Question

Sketch the graph of each line.
y=9/2x - 4

Answer 1

To sketch the graph of the line y = (9/2)x - 4, we first identify the slope and the y-intercept of the line.

The given equation is in slope-intercept form y = mx + b, where m represents the slope and b represents the y-intercept.

In this case, the slope is 9/2 and the y-intercept is -4.

To draw the graph, we start by plotting the y-intercept, which is -4, on the y-axis. Next, we use the slope to determine additional points on the line.

The slope of 9/2 means that for every 2 units moved horizontally (to the right), the line moves up 9 units vertically. Hence, we can find another point on the line by moving two units to the right and then moving up 9 units.

Using this information, we plot a second point on the graph.

Next, we draw a straight line passing through both points we plotted. This line represents the graph of y = (9/2)x - 4.

The final sketch represents a line that starts from the y-intercept of -4 and has a positive slope of 9/2.

Graph:
Here is a rough sketch of the graph:
|
10| .
|
| .
|
|
|_______.
-5 -4 -3 -2 -1 0 1 2 3 4 5