find the length of the red line in the coordinate plane. (-2, 1) and (4,3)

Answer 1

To find the length of the red line, we can use the distance formula. The distance formula is given by:

√((x2 - x1)² + (y2 - y1)²)

Given points (-2, 1) and (4, 3), we can plug in the values:

√((4 - (-2))² + (3 - 1)²)
= √((4 + 2)² + (3 - 1)²)
= √(6² + 2²)
= √(36 + 4)
= √40
= 2√10

Therefore, the length of the red line in the coordinate plane is 2√10 units.