Draw the graphs of the equations 5x − y = 5 and 3x − y = 3. Determine the co-ordinates

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asked Feb 2, 2018 in Mathematics by sforrest072 (157,439 points) 63 448 1290
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 y-axis. Calculate the area of the triangle so formed.

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answered Feb 2, 2018 by mdsamim (213,225 points) 5 10 23
selected Feb 2, 2018 by sforrest072
 
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Three solutions of this equation can be written in a table as follows:

The graphical representation of the two lines will be as follows:

Concept insight: In order to find the coordinates of the vertices of the triangle so formed. Find the points where the two lines intersects the y-axis and also where the two lines intersect each other. Here, note that the coordinates of the intersection of lines with y-axis is taken and not with x-axis, this is became the question says to find the triangle formed by the two lines and the y-axis.

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