## Grade 9 - Linear-Equations-in-Two-Variables

### Choose correct answer(s) from given choice

1)Find the point where linear equation 4x + 4y = 32 intersects with x-axis.
 a. (8, 0) b. (0, 4) c. (0, 8) d. (4, 0)
2)At what point does the line represented by the equation 8x + 4y = 8 intersects a line which is parallel to the y-axis, and at a distance 3 units from the origin and in the negative direction of x-axis.
 a. (0, 4) b. (-3, 0) c. (0, 8) d. (-3, 8)
3)A telecom operator charges \$ 1.1 for the first minute and \$ 0.7 per minute for subsequent minutes of a call. If duration of call is represented as d, and amount charged is represented as c, find the linear equation for this relationship.
 a. c = 1.1d + 0.7 b. c = 0.7d + 1.1 c. c = 1.1d + 0.4 d. c = 0.7d + 0.4
4)In graph of linear equation 4x + 3y = 34, there is a point such that its ordinate is 5 less than its abscissa. Find coordinates of the point.
 a. (6, 1) b. (1, 6) c. (2, 7) d. (7, 2)
5)Find the linear equation represented in the graph below.

 a. q/p b. pq c. 1 d. p/q
6)Equation 6x + 3y = 6 has
 a. No solution b. Infinitely many solutions c. Two solutions d. A unique solution
7)If graph of the equation y = mx + c passes through the origin, what is the value of c.
 a. -1 b. 0 c. 2 d. 1
8)Find the linear equation represented in the graph below.

 a. y = - 2 b. y = -x + 2 c. y = 2 d. y = 0
9)A line passe through points (-3, -14) and (1, 2). Find the x-intercept of the line.
 a. -0.5 b. 0.5 c. 1 d. 0
10)If solutions of a linear equation are (-2, 2), (0, 0) and (2, –2), find the equation.
 a. -2x + y = 0 b. x - y = 0 c. x + y = 0 d. x -2y = 0