Question 1 :
The graph of the equation y = mx + c passes through the origin. State true or false.
Question 2 :
The equation 2x + 5y = 7 has a unique solution, if x, y are :
Question 3 :
The point of the form (a, – a) always lies on the line :
Question 4 :
Any point on the line y = x is of the form :
Question 5 :
All the points (2, 0), (–3, 0), (4, 2) and (0, 5) lie on the x-axis. State true or false.
Question 7 :
How many solution(s) of the equation 2x + 1 = x – 3 are there on the cartesian plane ?
Question 8 :
State true or false: Every solution of the linear equation can be represented by a unique point on the graph of the equation.
Question 9 :
If the temperature of a liquid can be measured in Kelvin units as x°K or in Fahrenheit units as y°F, the relation between the two systems of measurement of temperature is given by the linear equation $y = \frac {9}{5}$ (x - 273) + 32 . If the temperature is 158° F, then find the temperature in Kelvin.
Question 10 :
How many solution(s) of the equation 2x + 1 = x – 3 are there on the number line ?
Question 12 :
A linear equation 2x + 3y = 5 has a unique solution. State true or false.
Question 13 :
Determine the point on the graph of the linear equation 2x + 5y = 19, whose ordinate is 1$\frac {1}{2}$ times its abscissa.
Question 14 :
At what point the graph of the equation 3x + 4y = 12 cuts the y-axis ?
Question 15 :
How many linear equations in x and y can be satisfied by x = 1 and y = 2?