6. Find the equation of the line passing through the point (4,3) and parallel to the line which makes intercepts 3 and 5 on the co-ordinate axes.
Answers
Answered by
2
Answer:
hope it will help u
Step-by-step explanation:
Equation of a line making an x−intercept =
′
a
′
units and y−intercept =
′
b
′
units is given by
a
x
+
b
y
=1⟶(1)
Also, a+b=−1⟶(2)
And equation (1) passes through point (4,3)
∴
a
4
+
b
3
=1⟶(3)
From (2), b=−a−1⟶(4)
Substituting (4) in equation (3) we get
a
4
+
−a−1
3
=1
⇒
a
4
−
a+1
3
=1
⇒4a+4−3a=a(a+1)
⇒a+4=a
2
+a
a=±2
∴ a=2 a=−2
b=−3 b=1
∴ the probable equation will be
2
x
−
3
y
=1 and −
2
x
+
1
y
=1
Answered by
0
Answer:
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Step-by-step explanation:
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