Question

name
date
personal
learning solution: infinite (grade 6 math)
distances on the coordinate plane:
find the distance between points a and b. state whether you worked with x or y coordinates.
then, show what addition or subtraction expression you used to find the distance.
1)
a(-7,2), b(-7,6)
6 - 2 = 4 units
2)
a(5,-6), b(5,3)
|3 - (-6)| = 9
3)
a(-8,5), b(-2,5)
|-2 - (-8)| = 4
4)
a(-6,-5), b(9,-5)

Explanation:

Step1: Identify points for Q1

Points: $A(-7,2)$, $B(-7,6)$

Step2: Calculate vertical distance (Q1)

Same x-value, use y-coords: $|6-2|=4$

Step3: Identify points for Q2

Points: $A(3,-6)$, $B(5,3)$

Step4: Calculate vertical distance (Q2)

Same x-value, use y-coords: $|3-(-6)|=9$

Step5: Identify points for Q3

Points: $A(-6,5)$, $B(-4,5)$

Step6: Calculate horizontal distance (Q3)

Same y-value, use x-coords: $|-4-(-6)|=2$

Step7: Identify points for Q4

Points: $A(-6,-5)$, $B(9,-5)$

Step8: Calculate horizontal distance (Q4)

Same y-value, use x-coords: $|9-(-6)|=15$

Answer:

1. Distance: 4 units (y-coordinates)
2. Distance: 9 units (y-coordinates)
3. Distance: 2 units (x-coordinates)
4. Distance: 15 units (x-coordinates)