Solutions on a Line

What rule connects the x and y values from this table?

• y = 2x + 5

• y = 4x + 1

• y = 3x + 3

• y = x + 7

Does the point (2, 8) lie on the line, y = 10 - x?

• Yes

• No

Does the point (4, 11) lie on the line,

y = 8 + x?

• Yes

• No

Which of the following points lies on the straight line

2y = 3x - 7

• (1,2)

• (1,-2)

• (0,-7)

• (2,1/2)

Identify the option having two correct solutions for the equation 5x + 4y = 20

• (2,1) and (3,2)

• (1, 4) and (3,1)

• (0, 5) and (4, 0)

• (4, 3) and (3, 0)

Answer explanation

5x + 4y = 20 On taking (x = 0, y = 5), L.H.S = 5(0) + 4(5) = 20 = R.H.S On taking (x = 4, y = 0), L.H.S = 5(4) + 4(0) = 20 = R.H.S Therefore, (0, 5) and (4, 0) are two solutions of the given linear equation in two variables.

• Consistent : Unique solution
• Consistent: Many Solutions 
• Inconsistent: No solution 
• None of the above 

Which of these lines passes through the point (3, 7)?

• y = 2x + 4

• y = x + 5

• y = x + 10

• y = 3x - 2

Equation of the line is y = 3x and x-coordinate of the point is given. What will be the y-coordinate.

(4, ____)

• 7

• 12

• 1

• A

• B

• C

• D

• F

• G

• H

• J