The distance between point A and point B is 10 units.
The distance between two points on a coordinate plane (x, y) and (x, y) is
= √[(x₂ - x₁)² + (y₂ - y₁)²] units
The given straight line is 3x + 4y = 24.
This straight line will cut the x-axis at a point where y = 0.
Therefore, 3x + 4(0) = 24
⇒ 3x = 24
⇒ x = 8
Therefore, the coordinates of the point A is (8, 0).
Similarly, this straight line will cut the y-axis at a point where x = 0.
Therefore, 3(0) + 4y = 24
⇒ 4y = 24
⇒ y = 6
Therefore, the coordinates of the point B is (0, 6).
Therefore, the distance between point A and point B is
= √[(0 - 8)² + (6 - 0)²] units
= √(64 + 36) units
= √100 units
= 10 units (negative sign is avoided.)
Learn more about the distance between two points here: https://brainly.com/question/12538676
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