Question

Draw the graphs of the equations 5x - y=5 and 3x - y = 3. Determine the co-ordinates of
the vertices of the triangle formed by these lines and the y axis.​

Answer 1

Hey MATE!!!

First we determine the coordinates which satisfy the above equations so that graph can be plotted.

For the equation -> 5x -y = 5

put x = 0 so we get y = -5 => (0,-5)

put y = 0 so we get x = 1 => (1,0)

For the equation -> 3x -y = 3

put x = 0 so we get y = -3 => (0,-3)

put y = 0 so we get x = 1 => (1,0)

Hence we have got the coordinates of the respective lines so that graph of the equations can be plotted.

The graph of both the equations can be seen in the above attachment.

Therefore, the coordinates where graph of the triangle formed by the lines and y- axis are:

$\boxed{<strong><em>(</em></strong><strong><em>1,</em></strong><strong><em>0</em></strong><strong><em>)</em></strong><strong><em>,</em></strong><strong><em> </em></strong><strong><em>(</em></strong><strong><em>0,</em></strong><strong><em>-</em></strong><strong><em>3</em></strong><strong><em>)</em></strong><strong><em> </em></strong><strong><em>and </em></strong>\:<strong><em>(</em></strong><strong><em>0,</em></strong><strong><em>-</em></strong><strong><em>5</em></strong><strong><em>)</em></strong><strong><em>.</em></strong>}$

Hope it helps

HAKUNA MATATA :))