Question

1. what is the horizontal distance between the points: a(-2, -1) and b(-5, -1)?

Explanation:

Step1: Identify y - coordinates

Both points \( A(-2, -1) \) and \( B(-5, -1) \) have the same y - coordinate (\( y=-1 \)). So, the distance between them is horizontal, and we can find it by finding the absolute difference of the x - coordinates.

Step2: Calculate absolute difference of x - coordinates

The formula for the horizontal distance between two points \( (x_1,y) \) and \( (x_2,y) \) is \( |x_1 - x_2| \). Here, \( x_1=-2 \) and \( x_2 = - 5 \). So, we calculate \( |-2-(-5)|=|-2 + 5|=|3| = 3 \).

Answer:

3