Premium Online Home Tutors
3 Tutor System
Starting just at 265/hour

# Draw the graphs of the equations and Determine the co-ordinate of the vertices of the triangle formed by these lines and the axis.

Answer :

According to the given statement in the question:
=>$$y = 5x - 5$$............(1)

Three solutions of this equation can be written in a table as follows:

$$\begin{array} {|r|r|}\hline x & 0 & 1 & 2 \\ \hline y & -5 & 0 & 5 \\ \hline \end{array}$$

According to the given statement in the question:
=>$$y = 3x - 3$$............(2)
Three solutions of the equation (2) are :

$$\begin{array} {|r|r|}\hline x & 0 & 1 & 2 \\ \hline y & -3 & 0 & 3 \\ \hline \end{array}$$

Now the graph for the above equations (1) and (2) will be:

It can be observed that the required triangle is ABC.

The coordinates of its vertices are A (1, 0), B (0, –3), C (0, –5).