If the straight line x/a+y/b = 1 passes through the points (8, -9) and (12, -15), find the values of a and b.
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If the straight line x/a+y/b = 1 passes through the points (8, -9) and (12, -15), find the values of a and b.
If the straight line x/a+y/b = 1 passes through the points (8, -9) and (12, -15), find the values of a and b.
To Find: The values of a and b when the line x/a+y/b = 1 passes through the points (8, -9) and (12, -15).
Given: the equation of the line: x/a+y/b = 1 equation 1
Also (8, -9) passes through equation 1
8/a – 9/b = 1
8b – 9a = ab equation 2
And (12, -15) passes through equation 1
12/a − 15/b = 1
12b – 15a = ab equation 3
Solving equation 2 and 3
a = 2.
Put a = 2 in equation 2
8b – 9a = ab
8b -18 = 2b
6b = 18
⟹ b = 3
Hence the values of a and b are 2 and 3 respectively.