Sketch the graph of each line.
y=9/2x - 4
To sketch the graph of the line y = (9/2)x - 4, we can start by plotting two points on the line and then connecting them with a straight line.
To find the points, we can assign arbitrary values to x and use the equation to solve for y. Let's choose x = 0 and x = 4.
For x = 0:
y = (9/2)(0) - 4
y = 0 - 4
y = -4
So one point on the line is (0, -4).
For x = 4:
y = (9/2)(4) - 4
y = 18 - 4
y = 14
So another point on the line is (4, 14).
Plot these two points on a coordinate plane and extend a straight line through them:
|
|
14 - ●
| (4,14)
|
|
-4 - ●
| (0,-4)
|
---------------------
-4 4
This is the graph of the line y = (9/2)x - 4.