Question

Y=-1/4x график Необходимо построить график функции

Answer 1

это прямая если х=0 то у=0, если х=4 то у= -1/4*4= -1. проводим прямую через точки (0,0) и (4, -1)

Answer 2

To plot the graph of the function Y = -1/4x, we need to first understand the nature of the function. This is a linear equation in the form of y = mx, where "m" is the slope and "-1/4" is the coefficient of "x."

In this case, the slope is negative, which means the line will be downward sloping from left to right. The magnitude of the slope is 1/4, which means for every unit increase in "x," the value of "y" will decrease by 1/4.

To plot the graph, follow these steps:

Step 1: Choose a range of values for "x" to plot. For simplicity, let's choose some values between -10 and 10.

Step 2: Substitute the chosen values of "x" into the equation Y = -1/4x to find the corresponding values of "y."

Step 3: Plot the points (x, y) on the graph.

Step 4: Draw a straight line passing through the points.

Let's plot some points and draw the graph:

x	Y = -1/4x
-10	10/4
-8	8/4
-6	6/4
-4	4/4
-2	2/4
0	0
2	-2/4
4	-4/4
6	-6/4
8	-8/4
10	-10/4

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

(Note: The points are approximated for simplicity while plotting.)

plaintextCopy code
       | 
   3.5 |           .  
       |         .  
   3.0 |       .  
       |     .  
   2.5 |   .  
       | .  
   2.0 +------------* 
       | .  
   1.5 |   .  
       |     .  
   1.0 |       .  
       |         .  
   0.5 |           .  
       | 
   0.0 +------------* 
       | 
  -0.5 |           .  
       |         .  
  -1.0 |       .  
       |     .  
  -1.5 |   .  
       | .  
  -2.0 +------------* 
       | .  
  -2.5 |   .  
       |     .  
  -3.0 |       .  
       |         .  
  -3.5 |           .  
       | 
       |_________________
               -10   10

Connect the points with a straight line to complete the graph. The line should have a downward slope from left to right. This is the graph of the function Y = -1/4x.