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Introduction To Euclid's Geometry

Question
CBSEENMA9002129

Express y in terms of x in the equation x + 2y = 8. Find the points where the line represented by this equation cuts 4x-axis and y-axis.

Solution
 x + 2v = 8 ...(1)

rightwards double arrow    2y = 8 - x
rightwards double arrow    y = fraction numerator 8 minus straight x over denominator 2 end fraction

This expresses y in terms of x.
This line will intersect x-axis at the point for while y = 0. So, put y = 0 in (1), we get
x + 2(0) = 8
⇒ x = 8
Hence, line (1) intersects x-axis at the point (8, 0).