What points lie on the straight line passing through the points A (-4; 0) and B (0; 2)? A) C (-6: -1)

What points lie on the straight line passing through the points A (-4; 0) and B (0; 2)? A) C (-6: -1) B) E (-1: -1) C) D (-3: 1) D) F (2: 3)

Let’s compose the equation of the straight line along the coordinates of points A and B, finding the coefficients k and b using the system of equations:

– 4k + b = 0;

0k + b = 2;

b = 2;

– 4k + 2 = 0;

k = 0.5.

So, the equation of the straight line y = 0.5x + 2.

Let’s check which of the listed points belong to the straight line by substituting their coordinates into its equation:

– 1 = – 6 * 0.5 + 2 – true, point C belongs to a straight line;

– 1 = – 1 * 0.5 + 2 – not true, point E does not belong to a straight line;

1 = – 3 * 0.5 + 2 – not true, point D does not belong to a straight line;

3 = 2 * 0.5 + 2 – true, point F belongs to a straight line.

Answer: A) C; D) F.