Which of the following points does not lie on the line 2y + 5x - 4= 0?
A. (0,8,0) B. (1, -0.5) C. (0,2) D. (2,3)
Correct Answer: D
Explanation
To determine which point does not lie on the line given by the equation \(2y + 5x - 4 = 0\), we will substitute the coordinates of each point into the equation.
Step-by-Step Verification:
1. For Point A (0.8, 0): - Substitute \(x = 0.8\) and \(y = 0\) into the equation: \[ 2(0) + 5(0.8) - 4 = 0 + 4 - 4 = 0 \] - Since the left side equals the right side (0), point A lies on the line.
2. For Point B (1, -0.5): - Substitute \(x = 1\) and \(y = -0.5\) into the equation: \[ 2(-0.5) + 5(1) - 4 = -1 + 5 - 4 = 0 \] - Since the left side equals the right side (0), point B lies on the line.
3. For Point C (0, 2): - Substitute \(x = 0\) and \(y = 2\) into the equation: \[ 2(2) + 5(0) - 4 = 4 + 0 - 4 = 0 \] - Since the left side equals the right side (0), point C lies on the line.
4. For Point D (2, 3): - Substitute \(x = 2\) and \(y = 3\) into the equation: \[ 2(3) + 5(2) - 4 = 6 + 10 - 4 = 12 \] - Since the left side (12) does not equal the right side (0), point D does not lie on the line.