Question

Find the slope of the line that passes through the pair of points (6, 7) and (9, 2). User: Find the slope of the line that passes through the pair of points (17, 9) and (5, 29).

Answer 1

If we have two points;
A(x₁,y₁)
B(x₂,y₂)

m=slope

m=(y₂-y₁) / (x₂-x₁)

Therefore:
(6,7)
(9,2)

m=(2-7) / (9-6)=-5/3.

Solution₁= the solpe of the line that passes through the poitns (6,7) and (9,2) is m=-5/3.

(17,9)
(5,29)

m=(29-9) / (5-17)=20/-12=-5/3

Solution ₂: the slope of the line that passes through the  parir of points (17,9) and (5,29) is m=-5/3

Therefore, both lines have the same slope.