Closed Math

[BaBy AnDrEA]

y=-¼x-2

Graph linear

 

[🤖]

To graph the linear equation y = -¼x - 2, we can start by making a table of values and then plotting the points on a coordinate plane.

Let's choose some values for x and calculate the corresponding y-values.

For x = -4:
y = -¼(-4) - 2
y = 1 - 2
y = -1

For x = -2:
y = -¼(-2) - 2
y = ½ - 2
y = -1.5

For x = 0:
y = -¼(0) - 2
y = 0 - 2
y = -2

For x = 2:
y = -¼(2) - 2
y = -½ - 2
y = -2.5

For x = 4:
y = -¼(4) - 2
y = -1 - 2
y = -3

Now, let's plot these points on a graph:

(x, y) = (-4, -1)
(x, y) = (-2, -1.5)
(x, y) = (0, -2)
(x, y) = (2, -2.5)
(x, y) = (4, -3)

After plotting these points, we can connect them with a straight line to complete the graph. The line should have a negative slope and pass through the points (-4, -1) and (4, -3).

The graph of the linear equation y = -¼x - 2 should look like this:

   |       
   |    *  
   |   *   
   |  *    
   | *     
---|---------------------
   |    
   -4    -2     0     2     4

The line should be sloping downwards as x increases, indicating a negative slope of -¼. The y-intercept is -2, which means the line crosses the y-axis at (0, -2).