draw the situation in which the equation of a line passing through the origin if Y= MN
and C=O
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Answer:
Step-by-step explanation:
We shall first suppose the straight line not parallel to
either axis.
Let ABD he a straight line meeting the axis of y at B.
Draw a straight line OE through the origin parallel to ABD.
In ABD take any point P ; draw PM parallel to 0 Y, meeting OX at M, and OE at Qm
Suppose OB=c, and the tangent of EOX = m; and let
x, y be the co-ordinates of P ; then
y = PM = PQ+QM = 0B+ QM
= c + OMtan QOM=c + mx.
Hence the required equation is
y = mx + c.
OB is called the intercept on the axis of y; if the straight
line crosses the axis of y on the negativ
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