Forum

Draw the graphs of ...
 
Notifications
Clear all

Draw the graphs of the equations 5x – y = 5 and 3x – y = 3. Determine the coordinates of the vertices of the triangle formed by these lines and the y axis.

1 Posts
2 Users
0 Likes
214 Views
0
Topic starter

Draw the graphs of the equations 5x – y = 5 and 3x – y = 3. Determine the coordinates of the vertices of the triangle formed by these lines and the y axis.

1 Answer
0

Given,

5x – y = 5

=> y = 5x – 5

Its solution table will be

x \(\rightarrow\) 2, 1, 0

y \(\rightarrow\) 5, 0, -5

Also given, 3x – y = 3

y = 3x – 3

x \(\rightarrow\) 2, 1, 0

y \(\rightarrow\) 5, 0, -5

The graphical representation of these lines will be as follows:

From the above graph we can see that the triangle formed is ∆ABC by the lines and the y axis. Also the coordinates of the vertices are A(1,0), C(0,-5) and B(0,-3).
Share:

How Can We Help?