Coordinate Geometry Test - 3

(1) Since point X is 4 spaces left and two spaces above the point (3, 2), coordinates of point X = (3 - 4, 2 + 2) = (-1, 4). Therefore, point X lies in quadrant II.
(2) Since point X is 10 spaces right and 8 spaces below the point (-12, 11), coordinates of point X = (-12 + 10, 11 - 8) = (-2, 3). Therefore, coordinates of point X are (-2, 3).

(3) Since point X is 8 spaces left and 4 spaces below the point (10, 1), coordinates of point X = (10 - 8, 1 - 4) = (2,-3). Therefore, Point X lies in quadrant IV.
(4) Since point X is 35 spaces right and 25 spaces above the point (-40, -19), coordinates of point X = (-40 + 35, -19 + 25) = (-5, 6). Therefore, coordinates of point X are (-5, 6).

To cut the y-axis , the value of x should be 0.
Put x = 0 in the given equation.
y = 5x + 7
y = 5(0) + 7
y = 7
So, it cuts the y-axis at point (0, 7).

If the point (-3 , 6) lies on the line, it will satisfy its equation.

1) 4y = 3x + 23
x = -3, y = 6
4 × 6 = 3 × (-3) + 23
24 ≠ -9 + 23
Hence, option 1 is incorrect.

2) 3y = 2x + 24
x = -3, y = 6
3y = 2x + 24
3(6) = 2(-3) + 24
18 = -6 + 24
18 = 18
The given point belongs to the line 3y = 2x + 24.

1) Points (3, 6)
6x = 2y + 4
6 × 3 = 2 × 6 + 4
18 ≠ 12 + 4
Hence, option 1 is incorrect

2) Points (3, 7)
6x = 2y + 4
6(3) = 2(7) + 4
18 = 14 + 4
18 = 18

a = 3, b = –4, c = 2
a + b = 3 + (–4) = 3 – 4 = –1
b + c = –4 + 2 = –2

Now, (a + b) is the abscissa and is negative.
Also, (b + c) is the ordinate and is negative.

Since both abscissa and ordinate are negative, (a + b, b + c) will lie in the 3^rd quadrant.