On a graph paper, draw a line parallel to the X axis or Y axis. Write coordinates of any four points on the line. Write how the equation of the line can be obtained from the coordinates.
(Instead of parallel lines, line passing through the origin or intersecting the X or Y axis can also be considered)
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On a graph paper, draw a line parallel to the x or y axis. Write coordinates of any four points on the line. Write how the equation of the line can be obtained using the given points.
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Hint: To obtain the equation of line from the position of points lying on the line, we can use the formula-
y−y1=y2−y1x2−x1(x−x1)y−y1=y2−y1x2−x1(x−x1)
Complete step-by-step answer:
The line and four points are given as follows-
Let us take the line parallel to y axis with four points on the line as A(5,1) , B(5,2) ,C(5,5) and D(5,6)
To find the equation of line, only two points are required. So, we can choose any two points randomly to find the equation of line. Using points A and B,
y−1=2−15−5(x−5)0(y−1)=x−5x=5y−1=2−15−5(x−5)0(y−1)=x−5x=5
This is the equation of the line. The other two points C(5,5) and D(5,6.5) also satisfy the equation of the line.
Note: If we assume any other points like C and D, we will get the same equation as in the answer. Students should take care that they draw the key and mark the axes correctly on the graph sheet.
