2. Give the equations of two lines passing through (2, 14). How many more such lines
are there, and why?
3. the point (3,4) lies on the graph of the equation 3y = ax +7, find the value of a.
4. The taxi fare in a city is as follows: For the first kilometre, the fare is 8 and for the
subsequent distance it is 5 per km. Taking the distance covered as x km and total
fare as Rs y, write a linear equation for this information, and draw its graph.
5. From the choices given below, choose the equation whose graphs are given in Fig
10.6 and Fig. 10.7.
Answers
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2.
For x=2 and y=14
x+y =16
2x+y= 18
Infinite no of lines can be formed
As through a point infinite lines can be passed ( This is even a postulate of Euclid)
3.
3y=ax+7
where x =3 and y=4
3×(4)= a×(3)+7
12= 3a+7
5=3a
a=5/3
4.
Total distance=xkm
Total fare =y rupees
Fare for 1st km = 8 rupees
For subsequent distance= 5 rupees/km
Linear eqn is
1×8 + 5(x-1) = y
Why x-1? As subsequent or rest of the distance is total distance- distance travelled for base fare
8+ 5x-5 =y
5x+3=y
5x+3-y=0
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