To calculate the distance between points (-1,7) and (-2,3), the formula AB = sqrt[(xB-xA)^2 + (yB-yA)^2] is used where A(-1,7) and B(-2,3). Plugging these values into the formula gives AB = sqrt[1 + 16] = sqrt17, so the distance between the two points is sqrt17 units.

1. Calculate the distance between points (-1,7) and (-2,3)?
Solution
We'll recall the formula that gives the distance between two points:
AB = sqrt[(xB-xA)^2 + (yB-yA)^2]
Let A(-1,7) and B(-2,3)
AB = sqrt[(-2+1)^2 + (3-7)^2]
AB = sqrt(1 + 16)
AB =sqrt17
The requested distance between the given points is of sqrt17 units of length.